Answer to the Friday Puzzle….

204

coverOn Friday I set this puzzle.

A puzzle via Tod B this week.  Can you figure out the secret of this sequence and so discover what numbers should replace the question marks?

111 = 13

112 = 24

113 = 35

114= 46

115= 57

117= ??

If you have not tried to solve it, have a go now.  For everyone else the answer is after the break.

The pattern is 10 x the units plus the sum of all the digits.

So, 111 = 1 x 10 + 3 = 13, 112 = 2 x 10 + 4 = 24 etc.

The final one is 7 x 10 + 9 = 79

Did you solve it? Any other answers?

I have produced an ebook containing 101 of the previous Friday Puzzles! It is called PUZZLED and is available for the Kindle(UK here and USA here) and on the iBookstore (UK here in the USA here). You can try 101 of the puzzles for free here.

204 comments on “Answer to the Friday Puzzle….

  1. thaum says:

    also observe the ones digit is the tens digit plus 2.

    • Imtiaz Ahmad says:

      I solved it as follows, as I could see this pattern

      11×1 = 11+2=13
      11×2 = 22+2=24
      11×3 = 33+2=35
      11×4 = 44+2=46
      11×5 = 55+2=57
      11×7 = 77+2=79

      The answer = 79

    • Anonymous says:

      I too solved it that way
      111 13
      2 24
      3 35
      .
      .
      .
      116 68
      117 79

    • Rich says:

      The answer is 117….you folks are answering the question “What comes next in the following number series?” Whereas the only question being asked is 117= ??..Which is 117…all of the stuff above is noise to throw you off.

    • You’re all wrong.
      You’re all making assumptions.
      Those assumptions are blinding you to the fact you are being led to an erroneous solution.
      since this is a made up problem that has two different sets of rules, the missing number, if you want to place one there in place of the double ?? can be anything you want it to be.

    • Anonymous says:

      What is the next number in the sequence is what it wants to know… 13, 24,35,46,57, 68

      The numbers to the left are moot. The number missing is from the sequence on the right so the answer would be 68. GIVEN the numbers that exist in the question.

    • simply, just sort the 1st digit, and the 2nd digit.
      1st digit starts from 1,2,3,4,5…
      2nd digit = 3,4,5,6,7,….

      111 = 13
      112 = 24
      .
      .
      .
      116 = 68
      117 = 79

    • Pho Ieng says:

      A = 112-111;
      A = 1(unit);
      B=24-13;
      B=11;
      => A(unit) = B;

      => 1(unit) = 11;
      117=??; => 117 – 111 = 6(unit);

      6*11 + 13 = 79;
      eg,
      211 = ??; 211-111 = 100 (unit)
      => 100*11 + 13 = 1113;

    • Anonymous says:

      you stink

    • Diane Daniels says:

      I believe it is 69, here is my rational, you do not assume that the 6th equation is missing so the last equation is the 6th and then the total is 9 so that makes 69.
      Making the assumption that it has a 6th equation missing then yes you would assume the answer would be 79 but it is a series of equations as shown it would give you the 69 answer.

    • Chezzere Day says:

      Or you could just follow the pattern…no calculations are needed at all to solve this, really.

    • Anonymous says:

      If you label this as tough problem then it would be a height of sarcasm

    • Kalai Vani says:

      111=13
      112=24
      ending of the 3 digit will be a begining of the starting as 2 ad the sum of that 3 digit is 4 so 24
      similary 117=79

  2. I got it in 1 sec, then wondered if I was missing something, because it was too easy!

    • Jason says:

      Same… didn’t even need to use math for this one as each answer followed the same formula. First number on right same as last number on left, second number is that plus 2.

    • Mike says:

      Unless the “rules” have changed, 117=117 and all the other statements are false: ie. 111 does not= 13, 112 does not = 24, etc.

    • Julia Naidoo says:

      In response to Mike – the requirement for Boolean algebra (true or false) stated that the question needs to specify true or false as a possibility for answer. Secondly, one may not assume the question is incorrectly asked. If the question states 111 not equal 13, then yes 117 could equal 117. The question indicates a pattern and the answer is the next, next increment in the pattern, which is 79.

  3. it might be better to ask 524= to mix it up a bit (answer 47).

  4. kateoz says:

    I came up with the same answer much more simply – take the last digit, put it in the 10s column, sum the digits – voila – virtually no maths lol

  5. Gerard says:

    Increase by 11.

  6. Cheeky says:

    Agree otherwise, it is simple as “add 11”

  7. Anders says:

    As a pattern, x = 11n+2 where n=1, 2, 3…, but it yields the same answer for ?? so it’s not a second solution, just an easier way of seeing the pattern and calculating the answer

  8. Julie says:

    I just added 11. Why would a brain want to find anything more complicated?

  9. Holden Caulfield says:

    The most complicated answer to a simple problem, as said before, you just add 11. Does nobody test these before you publish them?

  10. Lazy T says:

    116 = hatstand, it’s the exception that proves the rule..

  11. jcm says:

    I got the answers by noticing the pattern.🙂

  12. Martha says:

    I thought the puzzle was why 116 was missing. Still don’t get it

  13. Eddie says:

    I reckon ‘=>’ would have been a more appropriate symbol than ‘=’.

  14. Dharmaruci says:

    i found this a big puzzl and was not able to anser.

    but what does add 11 mean? some people have said this,

    if first numb 111 add 11 would be 121. that is not the ansr

    • Anne Elk says:

      Dharmaruci: In this particular example, the part of the puzzle before the equals sign could be ignored and you only needed to add 11 (twice) to the half after the equals sign in order to get the answer that was asked for.

      It’s a lazy shortcut but it works (in this example).

    • Niva says:

      They’re referring to the sequence on the right-hand side of the equations: 13, 24, 35, 46, 57, each number is 11 more than the previous one. But this would NOT work since the correct answer for the next number is 79 (for 117) not 68.

    • Steve Jones says:

      @Niva

      Yes, it does work and the reason is the next number in the left hand sequence after 115 would be 116, which would yield 168 using either Richard’s formula or the “add11 method”. For the next number after that (117 in the question) you get 79 using both. Only when you get to 120 would the results diverge (Richard’s formula then gives 3 whilst the “add 11 method” gives 112). However, Richard provides no examples which differentiate between these methods, and the “add 11” technique is the simpler, so the one that is generally preferable.

  15. Steve Jones says:

    Much easier to just note that the increment between numbers is 11 so 116 would have been 68 and 117 is 79. You can reverse engineer a formula of course as (n x 11) – 1208, although that hardly seems necessary. Of course, Richard’s formula will provide a completely different answer to mine when reaching 120, but as the results are identical for all his examples (including the answer), then I’d claim my formula is equally good – indeed, I’d claim it’s simpler and on the principle of Occam’s Razer (increments of 11), then it’s also better.

    • Omer says:

      Your response was great until you got to Occam’s Razer [sic]. You have no idea what Occam’s Razor is.

    • Steve Jones says:

      Apologies for the spelling mistake, but the principle of Occam’s Razor is simply that, when presented with two possible hypothesis, it’s the simpler one (or that with the fewest assumptions) which should be taken.

      The increments of 11 approach is simpler than the answer provided. Note, I’m not claiming that Occam’s Razor involves increments of 11 if that is what you are thinking.

    • Omer says:

      No worries, Steve. Occam’s is just used for selecting which hypothesis to work with (i.e., select one with the simplest assumptions). In the case of a puzzle, any correct answer is a correct answer.🙂

    • Steve Jones says:

      Of course any correct answer is a correct answer. For questions like this there will be many answers possible. Indeed, by introducing any number of arbitrary elements there will very probably be an infinite number of them. What I said is that some answers are “better” in that they are simpler and require fewer assumptions. The assumption that it’s just increments of 11 on the right for increments on the left is simpler that the provided answer which requires assumptions on the placement of each of the digits on the left hand side.

      As to all answers being “correct”, there is an implication in all such questions that it’s the simplest answer that is required. Introducing arbitrarily more elements into the generation of the sequence is hardly the point. The basis of IQ tests for these sort of sequences have the same implicit assumption as to the properties of the answer that they require. It comes down to the required answer being the simplest or, perhaps better, the most fundamental.

  16. @BusterGasket says:

    Col 1: Line number. Col 2: value. Simply add 11 … arithmetic progression. Image here https://dl.dropboxusercontent.com/u/8113912/spreadsheet.png

  17. JeffJo says:

    Bad puzzle, since it’s also eleven times the units, plus two. Or (nine plus the sum of the tens and hundreds digits) times the units, plus (four minus the sum of the tens and hundreds digits). Or any of an infinite number of combinations.

    The sequences diverge if you use a base that isn’t in the form 11X, so in order to claim an answer is “the” answer the statement needs to discriminate them. As it is, with so many possibilities, Occam’s Razor applies and the simplest answer is the best answer: RIGHT= LEFT*11-1208. I got that in about four seconds, but didn’t want to believe it was right since it wasn’t a puzzle at all.

  18. Greg says:

    I assumed the trick was that 116 was not there. So you immediately want to say 68 but in fact you are answering for 117 not 116. Hence 79.

  19. Fotoflex says:

    The first number you get from the line number; 111 = 1.
    The second number is the total of the digits in that line; 111 = 3.
    Together; 13.
    It gets interesting when the line number changes from the one we are used to.
    116 would have made; 6 +7 = 67.
    But 117 is 6th in line, so it makes; 6 + 9 = 69.
    So, if the omitting of 116 has any importance, it would be that it changes the sequence.
    Not just ‘add 11’.

    • Malfureous says:

      What foto said that’s the answer

    • Kevin says:

      I’m glad to see that I’m not the only one that came up with69. I too also felt that skipping one line in sequence should have some bearing on the answer.

  20. Anonymous says:

    i got 79

  21. John says:

    I got it right, but I feel hollow inside.

  22. MrMc says:

    There is an implication in this puzzle that the 117 term directly follows the 115 term. I teach math and if you are skipping terms, you need to indicate that by using the following notation. 114, 115…117. This notation implies there are terms between 115 and 117. Since this puzzle does not use this notation, the 117 term directly follows the 115 term, so you need a different way to find the value for 117. Consider this recursive process. First, pick any row. I will start at the 113=35 row to explain my process. Take the number to the right of the equal sign, say the 35, subtract the two digit number directly to the left of the 35, that would be 13, so 35-13=22. To this, add the units digit of the 3 digit number below, in this case 2, and that result is the 2 digit number below. I know that’s confusing so here are the equations for each term.

    24 – 12 + 1 = 13
    35 – 13 + 2 = 24
    46 – 14 + 3 = 35
    57 – 15 + 4 = 46
    69 – 17 + 5 = 57

    Therefor the question marks are 69, not 79.

    Richard, we do your problem in my stats class every week and this one was a mathematical clunker. We’ve had some great discussions in class though this year based on your puzzle. Can I at least get confirmation that this is an alternate solution, and more mathematically correct based on notation, than the solution given.

    • Corey Baca says:

      Thank you MrMc for confirming for me

    • 117, it’s a mathematical impossibility for 117 to EQUAL 79. The equality sign, or “=” is a mathematical symbol used to indicate equality. The equals sign is placed between two quantities that have the same value. This is a flagrant misuse of the “=” sign, mathematicians would cringe. They should use something else.

    • Anonymous says:

      totally agree with MrMc explained perfectly please answer richard

  23. EddTheEgg says:

    +11 each time

  24. Christopher Jablonski says:

    I do like the puzzles, usually, but this was bad. There was no higher-level thinking required, no twist. It could appear in a grade-school math textbook, except then people would complain because 113 plainly does not equal 35.

  25. andres says:

    I saw a pattern with the ones digits and the tens digits. Follow them down the line. They increase by 1. Ones digits are 3,4,5,6,7 and the tens digits are 1,2,3,4,5, then 6 is skipped . Very easy.

  26. Dazza says:

    Erm, i thought it was just add 11 every time. Sorry.

  27. deehants says:

    Sorry Richard, but copying one of the many “intelligence tests” from facebook doesn’t really count as a puzzle😦

  28. I Luv Ill Formed Puzzles says:

    This was my favourite Friday puzzle for months.
    Thanks Richard.
    Keep up the good work.

  29. Kristian says:

    First digit is the product of the three numbers, second digit is the sum of all the sum of the three numbers. 1*1*1 = 1, 1+1+1 = 3.

    Could also be y = 11x – 1208

  30. Furie says:

    I got 69. The first digit on each number of the sequence is counting up. The second digit is a sum of the number. Had it not been specifically mentioned as a sequence then that wouldn’t work, but it was so it did.

  31. Bill36 says:

    the +11 method works for all but the first row. 111 = 13. +11 does not work there,, therefore +11 can’t be the answer. And it was TOO easy Richard’s way, which I used.

    • Steve Jones says:

      The +11 method most certainly does work for the first row if it’s expressed in full. The formula for it is (n x 11) – 108, so 11 x 11 – 108 = 13. People just call it the “+ 11” method for short. It’s a simple linear graph with the line crossing the Y axis at -108. As such, it’s simpler than Richard’s version and gives the right answer for all the examples provided.

  32. chritter says:

    I have 2 answers therefor im confused on which one to use I can explain if needed

    I got 79 and 117
    111=13
    112=24
    113=35
    114=46
    115=57
    116 was missing it would be 68
    117=79
    your adding by 11

    but if you do
    111= 1+1+1=3*13=39
    112= 1+1+2=4*13=52
    113= 1+1+3=5*13=65
    114= 1+1+4=6*13=78
    115= 1+1+5=7*13=91
    116= 1+1+6=8*13=104
    117= 1+1+7=9*13=117
    there for it would be 117=117
    so which one is right
    79 or 117

  33. Anonymous says:

    Just because you say 111 equals 13 doesn’t mean I have to believe it. so 117=117

  34. Anonymous says:

    Can Any one solve this this puzzle for me
    IF
    7 – 3 = 10124
    6 + 3 = 3279
    5 – 2 = 763
    11 + 2 = 92613

    Then,
    15 – 3 =?

  35. kat says:

    omg
    111= carry the last digit which is 1 then add 1+1+1=3 answer =13
    112= carry the last digit which is 2 then add 1+1+2=4 answer=24
    and so on thats the pattern

  36. Malfureous says:

    Maths doesn’t involve assumptions so the answer is 69, 116 isn’t even there so how can you count it?

    • JeffJo says:

      Some math inherently requires assumptions. This problem has an infinite number of solutions, so accepting any one answer over the others requires making some assumptions. But that doesn’t mean we can’t accept one.

      Occam’s Razor states that in such a situation, we should accept the one with the fewest, or simplest, assumptions.That is, the smallest set that will produce the observed results. Since all we know is that RIGHT increases by 11 each time LEFT increases by 1, we can satisfy Occam’s Razor by assuming that is the only pattern. RIGHT= LEFT*11-1208, and the answer is 79.

      While this is the same as Richard’s answer for LEFT=117, it diverges soon. He added the extra assumption that the sum of the digits has something to do with the sequence.

  37. Jeff says:

    I got the answers but in a different way:

    111: 1 x 11 = 11; 11 + 2 = 13

    112: 2 x 11 = 22; 22 + 2 = 24

    113: 3 x 11 = 33; 33 + 2 = 35

    And so on until

    117: 7 x 11 = 77; 77 + 2 = 79

  38. jtw218 says:

    It is as Numerical Puzzle. Not a Math Puzzle. I see so many people over analyzing this puzzle it is really funny and really sad. Seeing how that there are so many formulas and theories. It is not. It simply putting the numbers on the left column goes 1-6 and on the right it goes 3-8.

    Most people think it is a Math Puzzle, it is a Logic Puzzle. You are programmed to believe that you see Numbers an an = sign, so you think automatically its a math, so you go with the only logical progression.

    When missing the most obvious.

    Some people think the Chicken came first Some people think the Egg came first…Very few people think they both came at the same time. The Chicken and the Egg for the chicken to sit on.

    • JeffJo says:

      (1) You can think of Logic as a branch of math.
      (2) But strictly speaking, this is a Logic Puzzle that uses math.
      (3) As a Logic Puzzle, it is lacking, because it has an infinite number of answers.
      (4) But the field of Logic has a method to deal with that. It’s called Occam’s Razor, which is a principle of Logic, not Math.
      (5) That answer is not the one Richard gave. Hence the replies.

      And you never said what you thought the answer should be.

    • jtw218 – 117=117. Just as “Rich” said, “The answer is 117….you folks are answering the question “What comes next in the following number series?” Whereas the only question being asked is 117= ??..Which is 117…all of the stuff above is noise to throw you off.” There are no words in this puzzle such as “if” or “what if,” that would imply that it’s answer should be calculated in any other way than just mathematically… Therefore, the answer is 117. As for the chicken and the egg issue, obviously, the egg came first. Scientifically, many other prehistoric creatures laid eggs before chickens “came to be”…

  39. jtw218 says:

    FYI.
    Did anyone actually see the puzzle presented as a Math Puzzle?

  40. I suggest the numbers on the left are not base 10, and there is a pattern. The fist set is base 6. the nest base 11, then base 16, then base 21, then base 26. Following the base increasing by 5, the next set is base 31. 117 = 31 + 31 +7 = 69.

    Your thoughts?

    • Kali says:

      THANK YOU! Yet another reason to say 69. I got that number every way I went with this. Then I gave up and just said screw it, there are a bunch of answers ;/. Thus: WTF?!

      But anyway, thank you.

    • Anonymous says:

      I agree. No one said your base number had to be the same number throughout (10), or that it had to be a multiplication of the sum of the 3 digits. If you ADD 10 to the first sum, then 20 to the second sum, 30 to the third, and so on, your answer would be 69.

  41. edalbanesi says:

    Keep it simple. The first number in the tens column is the number in sequence. The second number is the sum in the units column is the sum of all the digits. 69. The failing in this problem is there are a number of patterns that work.

  42. lashyra moore says:

    I got the right answer but not that way is their any other way.

  43. Kali says:

    I agree that there are possible alternate answers, but each side has to follow the same pattern, thus, no matter what so far, I come up with 69. It seems to follow the most “rules.”

    • Kali says:

      P.S. Because it has alternate answers, I too don’t think it’s the most fabulous riddle, but I enjoyed it anyway. It could be presented with more clear verbal parameters, but if I’m right, I did it without them😉

  44. Reblogged this on roymarkcorrales and commented:
    simple algebraic series😀

  45. Kali says:

    Okay, I have now decided the answer. THERE IS NO ONE CORRECT NUMERICAL ANSWER. That is the answer. It is the realization that one has wasted their time, energy, brain and friends’ effort on something with various answers. Thus, the genius would say, this is some troll riddle nonsense, and THAT is the real answer.

    • izzey says:

      Am I stupid or what???????? My answer was 69.
      6 is the line number, and 9 is for 1+1+7

    • Kali says:

      Thank you, Izzey! I am very fond of my co-69 answer-getters. Especially when they explain it. I can’t even remember how I repeatedly got that answer anymore …

    • Dalton says:

      There is one correct number, but mathematics is proof that there is more than one way to solve a problem and that it’s our brains thought process. Multiple ways were done and shown, with the same exact answer. There are studies to see how people process things. So mathemiticians can’t process the answers the way others may, but the amazing thing about math is that with multiple ways to solve one equation, there is only one true answer, no matter what. Einstein was wrong, btw, E does not equal MC (SQUARED) He was actually off by millionths. Just saying…

    • dalton says:

      Oh and the reason 69 isn’t the answer is that the slipped 116… which would have made the number 68… And went straight to 117, making it 79… because that would have been the seventh line, I’m your thought process. It is in fact, the sum of all numbers, with the last number 11x, as your tenth value. Or 11x (x being the line) + 2. So the equation would look like y=11x+2.

  46. Anonymous says:

    all numbers are 11 above the previous. easy.

  47. Mercuriari says:

    69 or 79. I got 69 first. Programmer Thinking…The Ones column = the sum of the digits, the Tens column is the array index of the value.

    What facinates me is that the puzzle creator saw only one answer, 79, so my answer of 69 would be scored as WRONG and this has been the story of my life as far as testing goes.

    My mind analyzes problems oddly. I come up with out-of-the-box answers which served me well when working solutions were needed. I come up with ‘elegant’ solutions, often hurdling around obstacles

    It cursed me when I was being judged or debated by dogmatic, authoritative, closed minded people (and +j+

  48. Mercuriari says:

    69 and 79. 69 came first. Programmer’s thinking. The ones column is the sum of the number’s digits, the ten’s column is the array index of the number.

    I think out-of-the-box. Analyze. See novel solutions. And always scored 98 out of 100 because the tester didn’t see my answer or disagreed with the definition of ‘best fit’.

  49. Mercuriari says:

    69 and 79. 69 came first. Programmer’s thinking. The ones column is the sum of the number’s digits, the ten’s column is the array index of the number.

    I think out-of-the-box. Analyze. See novel solutions. And always scored 98 out of 100 because the tester didn’t see my answer or disagreed with the definiton of ‘best fit’.

    A boon when impossible fixes were needed. A curse w

  50. Mercuriari says:

    69 and 79. 69 came first. Programmer’s thinking. The ones column is the sum of the number’s digits, the ten’s column is the array index of the number.

    I think out-of-the-box. Analyze. See novel solutions. And always scored 98 out of 100 because the tester didn’t see my answer or disagreed with the definiton of ‘best fit’.

    A boon when impossible fixes were needed. A curse when judged or

  51. Mercuriari says:

    “69 or 79” is the answer. I came up with 69 at first. As a software engineer I saw the algorithm:

    Make the ones digit the sum of the value
    The tens digit is the array index of the value

    Just like in school, I was to give a single answer when there were two.

  52. Sam Stone says:

    The question isn’t what number would complete the series, which is 79, but rather what does 117 = ? . 117 = 117.

  53. Lisanne Valente says:

    There must be more than one answer!
    1st number is the sequence
    2nd number is the sum of the 3 numbers

    • Anonymous says:

      Honestly, There is only one answer
      you can easily see that each number goes up by 11 and it ends by jumping from 115 to 117 so you just add 22 to the number of 115 and you get 117 its as simple as that.
      Leaving the answer to be
      117 = 79

  54. kwizatz haderach says:

    117 is the answer. Pay no attention to the 5 mathematically incorrect statements above. The last line reads “117 = ??” (As to ask the question, “117 equals what?” ) Well the simplest answer to that would be… 117.

  55. Vinod says:

    What about 11 time 7 plus 2. Multiply the first 2 digits by the 3rd digit and add 2.

  56. Graduatethought says:

    I got the same answer but I multiplied the first two digits by the last plus 2. Eg 11×1 + 2 = 13. 11×4 +2 = 46 etc

  57. Querontes says:

    11.1 + 2 = 13

    11.2 + 2 = 24

    11.3 + 2 = 35

    11.4 + 2 = 46

    11.5 + 2 = 57

    11.7 + 2 = 79

  58. Anonymous says:

    I started by looking what base 111= 13. It was base 3 Did not mean anything
    Then I saw that the answers were a delta of plus 11.
    So 13 + 11 = 24 +11 = 35 + 11 = 46 + 11= 57 + 11 = 67 + 11 = 79
    So, 117 -= 79
    Simple minded me.

  59. Anonymous says:

    Look up the meaning of “equal” 117 can only equal 117

  60. Abdulrehman Sayed says:

    If the answer is 79, then what’s the big deal to find the answer because everyone sees the puzzles at first sight and gives the answer.
    my logic: 1+1+1=3 and the number 1 i took it as a serial number, so according to this the answer will be 69.
    1+1+7=69, and 6 is the serial number

    • jeremiah says:

      124 take out the 2…..234 take out the 3…345 take out the 4….and so on and so on till you get to 117. Which would be 789 then take out 8 and it gives you 79

  61. Scott says:

    Here’s the answer. You have to have an equation to find the answer so that means the solution has to be a product of the equation.

    Math teaches us that the numbers on the left have to have some sort of equation to equal the numbers that that are equal.

    This puzzle is about consistent numbers. The numbers on the left imply a number sequence of adding one, but the last one breaks that chain. The numbers on the left imply an addition of 11. However, the real question is how was this achieved.

    It’s quite simple. There has to be something associate with the numbers on the left to give consistent results on the right. Here is what it is:

    111-98=13
    112-88=24
    113-78=35
    114-68=46
    115-58=57
    117-48=69

    The actual consistent number is 10, it’s the number that is subtracted from the given data.

  62. Anonymous says:

    there are several right answers 13+98=111 88+24=112 78+35=113 68+46=114 58+57=115 48+69=117answer being 69 pattern 98 88 78 68 58 48 or another 13+first 2 numbers 11+=24 then 24+11=35 35+11=46 46+11=57 57+11=68 68 also being the answer pattern being 13 24 35 46 57 Robert charbonneau

  63. Anonymous says:

    The first digit is the position (1 -> 6) and the second digit is the sum of the digits on the left, so 69.

  64. shailender says:

    1=11 2=22 3=33 4=44 5=55 6=66 7=77 8=88 9=99 than 11=?

  65. jp says:

    79- take the first # Times it by the last 2 #’s then add 2. ” 11×1 + 2 = 13 __ 11×2 +2 = 24__ 11×3 +2 =35__11x4+ 2= 46__ 11×5+2=57__ 11×7+2=79

  66. sweta says:

    last dight +sum of all

  67. Guy Baconniere says:

    perl -e ‘$n=$ARGV[0]; printf(“%d\n”, (($n%11)*11)+2)’ 117
    79

  68. bob says:

    Because 117 is in a different Colour it must me minus number so the Answer must be -61

  69. Oliver Madly says:

    Useful formula!
    ???=420?
    2341=420

  70. Rich says:

    The answer is 117….you folks are answering the question “What comes next in the following number series?” Whereas the only question being asked is 117= ??..Which is 117…all of the stuff above is noise to throw you off.

    • Rich says:

      sorry, I followed a facebook post to here that didn’t include the parameters of the question that here do refer to a number sequence question with a 2 digit answer…my bad.

  71. Greg nugent says:

    Actually I got the correct answer by taking 11xnumber then adding 2 to each.

  72. nichole says:

    since the left side skips 116 you have to do the same thing to the right.. it’s a pattern…which if 116 was the next number in the sequence then the answer would be 68 but since it’s 117 it’s 79…

  73. Anonymous says:

    I got 79 by adding the increment of 11 to the previous answers. This question may not actually be about the math, it may just be about the logical increment sequence. I suppose there is a situation where the logical sequence and the math have different answers, but I am not going to give myself a headache finding one that would be that way.

  74. I got 79, but i didn’t add anything,lol i really didn’t even use any kind of math. I just dropped both rows of ones and just started to read😉 113
    224
    335
    446
    557
    668
    779 🙂 genius

  75. You’re all wrong.
    You’re all making assumptions.
    Those assumptions are blinding you to the fact you are being led to an erroneous solution.
    Since this is a made up problem that has at least two different sets of rules, the missing number, if you want to enter one there in place of the double ?? can be anything you want it to be.

    What rules are you using: Is this Base 10 ?? where is the zero (0), nine (9) and eight (8) ?? If you want to assume it is base 10, then let’s assume it is maybe base 8 or base 9 or base 12 or base 16 … and the equals symbol ( = ) is most certainly not correct either because if this is a math problem the two sides are definitely NOT EQUAL.

    So what kind of problem is this ??
    Short answer: This is not a word problem nor is it a math problem…
    It’s an exercise to get people to scratch their heads and try to come up with solutions when one does not exist.

    • Kali says:

      YES! I said this so many times to friends and none of them seemed to hear what I was saying. For what it’s worth, my genius ex agrees with us😉

      To put some flava on it: This be a trick question, yo.

      Thanks, George!

  76. Henry Anderson says:

    11×1 = 11+ 2 = 13
    11×2 = 22+2 = 24
    11×3 = 33+2 = 35
    11×4 = 44+2 = 46
    11×5 = 55+2 = 57
    11×6 = 66+2 = 68
    11×7 = 77+2 = 79
    11×8 = 88+2 = 90

  77. truelitistnot says:

    Worst math ever. the solution is 117=117. There is no sequence because you haven’t written up correctly to have a sequence. All this is, is a bunch of illogical math statement followed by a stupid simple math question. If you are going to make math puzzles at least learn math.

  78. Campbell says:

    The way I see it the answer is 117. Yes there is a pattern but nowhere does it say to solve the problem using the pattern. So I have no choice but to answer using facts. I know for a fact that 117= 117.

  79. Derrick Huggins says:

    Answer is 69

    13 + 12= 25. 25 – 1 (Last digit above)=24.

    24 + 13 = 37. 37 – 2 = 35

    35 + 14 = 49. 49 – 3= 46.

    46 + 15= 61. 61 – 4= 57.

    Finally: 57 + 14=74. 74 -5= 69.

  80. vincent says:

    how to answer this math problem x+2/2x-1-x-2/2x+1-4×2/4×2-1

  81. vincent says:

    2x+3/2×2-8-x2-3/4-x2+2-x/x2-4

  82. vincent says:

    x+1/x-2-x+3/x-3x/2x-4

  83. vincent says:

    need answers right now?pls

  84. vincent says:

    the problem is factoring and simplify the denominators

  85. Ken says:

    There is a pattern, but we can’t assume what the base is for the number. It should be shown in the equation:

    111 base2 = 13 base4
    112 base3 = 24 base5
    113 base4 = 35 base6
    114 base5 = 46 base7
    115 base6 = 57 base8
    116 base7 = 68 base9
    117 base8 = 79 base10

    Yeah, I need a hobby.

  86. It is in point of fact a great and helpful piece of info.

    I am satisfied that you just shared this useful information with us.
    Please keep us informed like this. Thanks for sharing.

  87. kikithetiger says:

    Last digit of first number indicates first digit of the response. Sum of all digits in first number indicates second digit of the response.
    It’s not simply a matter of adding 11 to each one because the last line skips one in the series.

  88. Imran Hyder says:

    Kindly solve this step by step

  89. Anonymous says:

    Can get the same answer by simply taking thelast number…transferring it to being the first number on the other side…then add a sum total of the numbers on the left side and transfer that answer to the right side……comes up with same solution….

  90. Anonymous says:

    If it’s just following a pattern then couldn’t 117 = 69. The 1st. digit in the answer equals the question number and the second digit represents the sum of the digits. then 117 = 69 for sixth question equals a sum of 9 for the digits?

  91. Anonymous says:

    Hello peeps

  92. vannessa says:

    LnubycrcfvygbbvtvtvybtcexezwzwStvbjkmo!mjnycrd shinguards in subject divided

  93. Anonymous says:

    Think 2 numbers that are tandem (magkasunod) Then the big number plus it to 10 then the equals of that minus it to the smaller number

    the answer is 11

  94. Anonymous says:

    the sequence i looked at was

    A*B*C for the 10’s place and A+B+c for the 1’s place

    so
    111=13
    112=24
    113=35

    117=79

  95. Derek says:

    Yes answer is 79
    But also works if you take last number for the first number in the answer, then add the series of numbers to get the second number in the answer, so:
    111= 1 then 1+1+1 is 3 so 13
    112= 2 then 1+1+2 is 4 so 24
    113= 3 then 1+1+3 is 5 so 35
    114= 4 then 1+1+4 is 6 so 46
    115= 5 then 1+1+5 is 7 so 57

    116= 6 then 1+1+6 is 8 so 68
    117= 7 then 1+1+7 is 9 so 79
    and so forth…

    Easy peasy!!!

  96. Vivisiow says:

    Or you can plus 11 for each number upped on the left.instead of doing all the sums? ?.?

  97. Abhilash says:

    If you even term this as a moderate difficulty level puzzle then too it would be a height of sarcasm. I solved in nano seconds

  98. Anonymous says:

    Вы все нубы, 117 = 117 , все остальные ответы ложные, для отвлечения внимания.

  99. Anonymous says:

    here is how I decided my answer.
    #1. 111=13
    #2. 112=24
    #3. 113=35
    #4. 114=46
    #5. 115=57
    #6. 117=69

    That was my first answer. I went with the sequential order pattern. As you can see, I am no math genius. My second answer is 79, going with pattern skipping #6. I wish there was a definitive answer. I am going insane.

    • Z58-66tf8 says:

      I agree – it depends on which rules are followed, since either answer can be shown to fit the pattern that is already given.

  100. Debby says:

    The answer could also be 68 if following the sequence of numbers in the answer columns (Sequence 1-5 in the left column of the answers and 3-7 in the right hand columns) making the next answer 68!

  101. Konstantin says:

    I think this way:
    111=13 (if we minus 98)
    112=24 (minus 88)
    113=35 (minus 78)
    114=46 (minus 68)
    115=57 (minus 58)
    then
    116=68 (minus 48)
    117=79 (minus 38)

  102. Julie says:

    It’s a trick question. They skipped 116. 116 would have had 68, then 117 would be 79.

  103. Jacek Jar says:

    69 is correct as well
    fist line is 1 and the sum on the left side=3
    second line is 2 and the sum on the left =4
    so on the 6st line should be 69

  104. Anonymous says:

    Answer this Question! – 1+2+3+4+5=30 how ?
    you can use any mathematical symbol by which..!!!
    its a hint for you to solve easy way like tz..

    ( )+( )+( )+( )+( )=30 ..????

  105. Dalton says:

    Would have been harder with 118.

  106. Anonymous says:

    111 = 13 ;solution = (1 x 10 + 3)
    112 = 24 ;solution = (2 x 10 + 4)
    113 = 35 ;solution = (3 x 10 + 5)
    114 = 46 ;solution = (4 x 10 + 6)
    115 = 57 ;solution = (5 x 10 + 7)
    116 = 68 ;solution = (6 x 10 + 8)
    and so on… or just by looking at the answer from top to bottom they are in sequence from 3,4,5,6,7,8 and 1,2,3,4,5,6 which is precisely true, We are anonymous, we do not forgive, we do not forget, expect us

  107. Anonymous says:

    I know you say you set the puzzle, but the answer you’ve given is incorrect! 111=13 is a false statement, unless you use the stipulation that we can “assume” that it equals 13. As you haven’t, 111 = 111 and 117 = 117. The wording really matters!!

  108. Anthony says:

    But it’s not 7 x its 6 x

    Just because the skipped 116 doesn’t make it the 7th sequence.

  109. Anonymous says:

    Is it 69.

  110. Anonymous says:

    117 always equals 117…period

  111. michael says:

    you can also use the method of 111=13 the first 1 digits multiplied by the last one and add 2 so 116=68 would look like: 11×6+2=68 and 117 would be: 11×7+2=79

  112. Maria says:

    qual a sequência?
    41, 05,04,52,30,33
    ? ? ? ? ? ?
    sabendo que vai de 01 a 60?

  113. Anonymous says:

    easy

  114. Donna says:

    Ok. Let’s say the first row is 110=2 even though you don’t see it, then you add 11so you get 13

    (11)1+2=13+
    (11)2=24+
    (11)3=35+
    (11)4=46+
    (11)5=57+
    (11)6=68+ missing row but sequence continues
    (11)7=79

    There are more than one way to solve this but the answer is still 79

  115. John says:

    Or just take the last number like this one, the the 2 at the end and put it first in answer, then add and put it in 2nd place of answer.

    112 = 24.
    Last digit in 112 to first in answer. 2
    2+1+1= 4, second place in answer. So 24

  116. megan monteza says:

    i dont understand

  117. psr says:

    Find next in series 7,7,13,37,57,?

  118. Nikhil says:

    Y and can’t be 69
    10+1+1+1=13
    20+1+1+2=24
    30+1+1+3=35 so on
    60+1+1+7=69

  119. monu jangra says:

    111=last no ( 1+1+1 ) = 13
    112 = 24
    113= 35
    114=46
    115=57
    116=68
    117= last no ( 1+1+7)=79

  120. Chrissy Allen says:

    Skipped 116! So 79 by the page. I’m still gonna stick to 117=117 and I can explain: you give me $117.00 would you want your $117 back or would you want me to give you $79.00?

  121. Damien says:

    What is this in algebra 1+ 3+23+11+13+31

  122. John Stanley says:

    Just add 11 to the previous number in the sequence, but be aware that 116 was skipped.

  123. shravan says:

    Plz solve this puzzle 27,11,6,3,5,4,……
    What comes next

  124. 111=13
    112=24

    …..
    116=68
    117=79

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