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Math Help - triangle of numbers

  1. #1
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    iran
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    triangle of numbers

    Insert the numbers from 1 to 15 in the boxes below so that the subtraction of two numbers beside each other (their absolute value) results their above value. For example:
    | K L | = G | G-H | =D
    | L-M | = H | H-I | =E
    And so on.
    The numbers can't be repeated and should not be zero.

    Attached Thumbnails Attached Thumbnails triangle of numbers-1.png  
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  2. #2
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    Re: triangle of numbers

    Quote Originally Posted by phpbuilder2012 View Post
    Insert the numbers from 1 to 15 in the boxes below so that the subtraction of two numbers beside each other (their absolute value) results their above value. For example:
    | K L | = G | G-H | =D
    | L-M | = H | H-I | =E
    And so on.
    The numbers can't be repeated and should not be zero.

    Hi, this is my solution:

    5
    4 9
    7 11 2
    8 1 12 10
    6 14 15 3 13

    Thanks from phpbuilder2012
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  3. #3
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    iran
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    Re: triangle of numbers

    thanks so much
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  4. #4
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    Re: triangle of numbers

    A triangular number is a figurate number: a number that can be represented by a ... The triangular numbers are found in the third diagonal of Pascal's triangle.
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  5. #5
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    Re: triangle of numbers

    Now extend the triangle by adding a sixth row.
    The problem can't be solved by using the numbers 1 - 21, but if you are given 1 - 22 and omit one (one of the numbers, not necessarily the number 1) it can be done.
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