Source: Azerbaijan Balkan TST 2016 no 4
Tags: number theory
20.10.2016 21:35
$a,b$ are positive integers and $(a!+b!)|a!b!$.Prove that $3a\ge 2b+2$.
20.10.2016 21:38
http://artofproblemsolving.com/community/c6h1268852p6622214