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)

4/2 = 4 - 2 => 2 = 2

Posted by Dej Mar on 2010-05-08 20:21:56