# A good number theory problem.

**Number Theory**Level 4

**unordered triples** \((a, b, c)\) of positive integers such that \[\left(1+\frac { 1 }{ a }\right)\left(1+\frac { 1 }{ b }\right)\left(1+\frac { 1 }{ c }\right)=3.\]

**Your answer seems reasonable.**Find out if you're right!

Sign up to access problem solutions.

**That seems reasonable.**Find out if you're right!

Already have an account? Log in here.