MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
Harvard-MIT Mathematics Tournament
2008 Harvard-MIT Mathematics Tournament
20
Symmetric Diophantine
Symmetric Diophantine
Source:
April 6, 2008
Problem Statement
For how many ordered triples
(
a
,
b
,
c
)
(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?
Back to Problems
View on AoPS