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Math Help - find numbers

  1. #1
    Junior Member
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    find numbers

    i don't know if this is the right place to post this topic...

    write the number in the empty boxes, the sum of the numbers in columns and rows is 264 ( maybe in diagonal too)

    number that you can write are :
    11 61 81 91
    16 66 86 96
    18 68 88 98
    19 69 89 99

    i couldn't fill this completely
    thanks for any help
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  2. #2
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    Lexington, MA (USA)
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    Hello, the prince!

    Here's one solution.

    . . \begin{array}{|c|c|c|c|}<br />
\hline<br />
66 & 11 & 89 & 98 \\ \hline 88 & 99 & 61 & 16 \\ \hline 91 & 86 & 18 & 69 \\ \hline19 & 68 & 96 & 81 \\ \hline \end{array}


    Note that the two main diagonals have a sum of 264,
    so do the 22s in each corner,
    and the 22 in the center,
    and the four corner cells.


    ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~


    I did not use trial-and-error; I used logic.
    If you insist, I'll explain my approach.

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  3. #3
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    Quote Originally Posted by the prince View Post
    i don't know if this is the right place to post this topic...

    write the number in the empty boxes, the sum of the numbers in columns and rows is 264 ( maybe in diagonal too)

    number that you can write are :
    11 61 81 91
    16 66 86 96
    18 68 88 98
    19 69 89 99

    i couldn't fill this completely
    thanks for any help
    Nice! I'll start saving up some scratch for this
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