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Classical Rules 1 (Posted on 2006-04-17) Difficulty: 3 of 5
Find three positive rational numbers such that their sum is a square, and the sum of any pair exceeds the third by a square.

Classical Rules: Let a "square" be any number that is the square of a rational number.

No Solution Yet Submitted by goFish    
Rating: 3.5000 (4 votes)

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Solution A solution | Comment 7 of 10 |

64, 40, 40

The sum of the three positive rational numbers is a square:
64 + 40 + 40 = 122

And any two pair of the numbers exceed the third number by a square:
(64 + 40) - 40 = 82
(40 + 40) - 64 = 42

Edited on April 18, 2006, 5:56 am
  Posted by Dej Mar on 2006-04-18 05:37:24

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