Determine all possible sextuplet(s) (A, B, C, D, E, F), with B < C, E < F and, A < D, that satisfy this system of equations:

A/(B*C) = D - E - F, and:

D/(E*F) = A - B - C

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

There seem to be an infinite number of families of solutions.  Did the author intend this to be limited to only integers?  Or only positive numbers?  Or only positive integers?

Posted by Steve Herman on 2010-11-21 20:16:46