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.

The only solution I found is the one Steve has given.  There were about ten other cases where one of the two equations could be satisfied, but not both.  (At first I found none, since I was thinking the six values had to be distinct -- but that isn't in the specs.)  

Posted by ed bottemiller on 2010-11-22 20:31:22