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by William Armstrong
23 Mar 2013
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Brain Functions


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Square Sums Puzzle

Genre: Math Puzzles Rating: 6 - Medium to Hard Source: William Armstrong
Brain Functions: Analysis / Exact Calculations Hint    Solution

Place one number in each of the four blanks below such that the sum of any two of the numbers is a perfect square and the sum of all four numbers is also a perfect square. Henry Dudeney proposed this puzzle to his readers over a hundred years ago and presented an answer using 3-, 4-, and 5-digit numbers. I am looking for a much simpler solution that you should be able to do in your head.

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