# Simple Concept Tough Problem - 5

Hello readers ! We are at the fifth problem in the SCTP series. This problem had appeared in the PRMO 2018 paper. Here is the problem :

**Integers satisfy and . Find the sum of all possible values of .**

We will see that this problem requires a basic property of divisibility of integers. If and are integers such that divides and divides , then . Please see the following video for the detailed solution.