Determine all possible quadruplet(s) (A, B, C, D) of positive integers, with A ≥ C, that satisfy this system of equations:

A/B = C-D, and:

C/D = A-B

Prove that these are the only quadruplet(s) that exist.

(4,2,4,2); (6,3,3,1); (6,2,4,1)

Posted by Brian Smith on 2010-05-09 11:09:36