Problem

Source: OLCOMA Costa Rica National Olympiad, Final Round, 2019 3.3

Tags: number theory, Digits



Let $x, y$ be two positive integers, with $x> y$, such that $2n = x + y$, where n is a number two-digit integer. If $\sqrt{xy}$ is an integer with the digits of $n$ but in reverse order, determine the value of $x - y$