MathDB

20

Part of 2008 Harvard-MIT Mathematics Tournament

Problems(1)

Symmetric Diophantine

Source:

4/6/2008
For how many ordered triples (a,b,c) (a,b,c) of positive integers are the equations abc\plus{}9 \equal{} ab\plus{}bc\plus{}ca and a\plus{}b\plus{}c \equal{} 10 satisfied?