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Math Help - Pattern?

  1. #1
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    Pattern?

    I am given a triangle of numbers; the numbers that are on the bottom of every row are random...then above those numbers, each number of each block is found using a simple rule from the two numbers that are directly below it. I have to find the rule and place the correct # on the top block.

    So:

    Code:
          ?
       768  864
     168 224 336
    23  47  18  76
    The rule doesn't seem apparent to me, but what I want to know more so than anything is if I can solve it using diophantine equations.

    That is, 23x + 47y = 168; 47y + 18z = 224; 18z + 76a = 336 and so forth.

    That would be so cool.

    Anyone know?
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  2. #2
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    Meh, apparently the pattern is easy to find...I can't even find it, yet alone trying to go into higher math with it
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  3. #3
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    Hello, fifthrapiers!

    This is another puzzle from the Dirty Tricks Division . . .


    I am given a triangle of numbers; the numbers on the bottom of every row are random.
    Then above those numbers, each number is found using a simple rule
    . . from the two numbers that are directly below it.
    I have to find the rule and place the correct # on the top block.

    Code:
          ?
       768  864
     168 224 336
    23  47  18  76

    Each number is the product of the digits of the two numbers below it.

    . . From 23 and 47, we get: . 2򉁬7 = 168

    . . From 168 and 224, we get: .1򉼴򈭾4 = 768

    . . . . . and so on.

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