MathDB

1b

Part of 2018 Nepal National Olympiad

Problems(1)

Nepal Regional Olympiad

Source: Nepal Mathematics Olympiad

4/22/2018
Problem Section #1 b) Let a,ba, b be positive integers such that bn+nb^n +n is a multiple of an+na^n + n for all positive integers nn. Prove that a=b.a = b.
number theory