RU-SPB 2011 Problem 92

$a,b$ are naturals and $a \times GCD(a,b)+b \times LCM(a,b)<2.5 ab$ . Prove that $b|a$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.