MathDB
Number Theory

Source: Archimedes Junior 2012

March 16, 2020
number theory

Problem Statement

Given is the equation (m,n)+[m,n]=m+n(m, n) +[m, n] =m+n where m,nm, n are positive integers and m>n. a) Prove that n divides m. b) If māˆ’n=10m-n=10, solve the equation.
Back to ProblemsView on AoPS