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.

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