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Math Help - 24 Game Marathon

  1. #31
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    Re: 24 Game Marathon

    1,3,14,22 : 1 * 3 * (22-14)

    1,2,3,4,5,6
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  2. #32
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    Re: 24 Game Marathon

    Hello, you only use 4 numbers in 24

    New Numbers: (3, 3, 7, 7)
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  3. #33
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    Re: 24 Game Marathon

    ((3/7)+7)*3

    new = 1,5,5,5
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  4. #34
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    Re: 24 Game Marathon

    Quote Originally Posted by cybertutor View Post
    ((3/7)+7)*3
    That does not equal 24
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  5. #35
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    Re: 24 Game Marathon

    sorry wrong way round
    ((3/7)+3)*7
    next one:
    1,5,5,5
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  6. #36
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    Re: 24 Game Marathon

    If you're thinking 5 * 5 - 1^5 , or (5-1)! - 5 + 5, don't think the ^ and ! are allowed; only + - / *
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  7. #37
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    Re: 24 Game Marathon

    1, 5, 5, 5

    5 * ( 5 - 1 / 5) = 24

    I hope a little self-promotion is allowed after finishing such a challenging puzzle ;-)

    Everything you want to know about math 24 ----------> Play math 24 game - 24theory, solves 24 the math game
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  8. #38
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    Re: 24 Game Marathon

    Here is a hard one
    1 4 5 6

    Give TWO solutions

    If you need help ---> Play math 24 game - 24theory, solves 24 the math game
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  9. #39
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    Re: 24 Game Marathon

    4 / (1 - 5/6) = 24
    6 / (5/4 - 1) = 24

    1,1,2,8 : post 2 solutions
    Last edited by Wilmer; September 28th 2012 at 08:25 PM.
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  10. #40
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    Re: 24 Game Marathon

    1,1,2,8

    (1+2) * 8 * 1

    That's the only solution. 8 * (2 + 1) * 1 is the same, ok? Read my little article on this issue ---> The theory - 24theory, solves 24 the math game

    Sorry for the self-promotion. If anyone is offended, let me know.

    [ 5 7 7 11]
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  11. #41
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    Re: 24 Game Marathon

    Quote Originally Posted by visionc View Post
    1,1,2,8
    (1+2) * 8 * 1
    That's the only solution.
    (1 + 2) / (1/8) ?

    5,7,7,11: 7*(5 - 11/7)
    Last edited by Wilmer; September 29th 2012 at 03:03 AM.
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  12. #42
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    Re: 24 Game Marathon

    Quote Originally Posted by Wilmer View Post
    (1 + 2) / (1/8) ?

    5,7,7,11: 7*(5 - 11/7)
    So you are saying (1 + 2) / (1/8) and (1+2) * 8 * 1 are two different solutions. But I disagree. If you read the "theory" part of the website I put up. I explained the methodology of determining the so called "unique" solutions. In short, it is aimed to get rid of the gimmick "new" solutions.

    (a + b) * c * 1 is always equal to (a + b) * c / 1, correct? (or you can say the second solution is a gimmick)
    And (a + b) * c / d is always equal to (a + b) / (d/c), correct?

    So let d be 1, we always have (a + b) * c * 1 = (a + b ) / (1/c).
    They are the same thing for any a, b and c. So they are essentially the same solution.

    Hope it's clear.
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  13. #43
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    Re: 24 Game Marathon

    THIS thread was started by OP Mrdavid445 who did not state the conditions you're "making up".
    These 2 solutions: (1 + 2) / (1/8) and (1+2) * 8 * 1 would be considered different: one uses *, one uses /


    I suggest you should have started your own thread, with YOUR conditions.

    I did not look at your "website on this"; also I am not saying you are "wrong"; I SEE what you're getting at.

    As example, one "manner" is to look at this style: u / (v - w/(w+1)) = 24.
    Then v = (24w + u(w + 1)) / (24(w + 1))
    Easy to loop through (keeping all 4 numbers < 100) to get solutions:
    here, there are 31 solutions: from 1 / (1 - 23/24) to 99 / (5 - 7/8)
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  14. #44
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    Re: 24 Game Marathon

    so a + b + c - d and a + b - (d -c) are two different solutions, or not?

    The point is, one has to draw a line somewhere to get rid of the gimmicks. I happen to believe a * b * c * 1 and a * b / (1/c) are the same solution. But that's just my opinion. We can live with different standards.

    And I don't understand the second part of your post. Does it have anything to do with our discussion of the different solutions or you are just pointing out a way to find interesting puzzles?




    Quote Originally Posted by Wilmer View Post
    THIS thread was started by OP Mrdavid445 who did not state the conditions you're "making up".
    These 2 solutions: (1 + 2) / (1/8) and (1+2) * 8 * 1 would be considered different: one uses *, one uses /


    I suggest you should have started your own thread, with YOUR conditions.

    I did not look at your "website on this"; also I am not saying you are "wrong"; I SEE what you're getting at.

    As example, one "manner" is to look at this style: u / (v - w/(w+1)) = 24.
    Then v = (24w + u(w + 1)) / (24(w + 1))
    Easy to loop through (keeping all 4 numbers < 100) to get solutions:
    here, there are 31 solutions: from 1 / (1 - 23/24) to 99 / (5 - 7/8)
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  15. #45
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    Re: 24 Game Marathon

    Quote Originally Posted by visionc View Post
    so a + b + c - d and a + b - (d -c) are two different solutions, or not?

    The point is, one has to draw a line somewhere to get rid of the gimmicks. I happen to believe a * b * c * 1 and a * b / (1/c) are the same solution. But that's just my opinion. We can live with different standards.
    You're missing my point: what one believes here is NOT important.
    Simply state your belief as a RULE in the puzzle.

    Once more: I posted (1 + 2) / (1/8) and (1+2) * 8 * 1 as 2 solutions
    because the ORIGINAL wording of the puzzle did NOT prohibit that.

    If YOU want to prohibit that, that's OK: but start a NEW thread and SAY SO.
    Last edited by Wilmer; September 29th 2012 at 05:05 PM.
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