Find necessary and sufficient conditions for the positive integer triple(A,B,C)to satisfy:

(A^3+B^3)/(A^3+C^3)=(A+B)/(A+C)

(In reply to re(2): answer ONLY - spoiler by Ady TZIDON)

The integers are said to be positive in the puzzle, ruling out b=c=0 or a = 0 as well as the a+b=0 of the first post.

Posted by Charlie on 2013-08-25 15:00:12