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Linear and Quadratic Sum Puzzle (Posted on 2015-07-25) Difficulty: 3 of 5
Given that each of A,B,C and D is a distinct positive integer.

Find the four smallest values of A+B+C+D such that each of A+B+C+D and A2+ B2+ C2+ D2 is a perfect square.

No Solution Yet Submitted by K Sengupta    
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Some Thoughts a solution | Comment 1 of 3

By observation:

2+4+6+13=5^2

2^2+4^2+6^2+13^2=15^2     

Edited on July 25, 2015, 9:58 am
  Posted by broll on 2015-07-25 09:56:08

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