AMC10 2027 - Self-practice Set 6 Question 12

Question 12

Let $x,y$ be two-digit integers such that $y$ is obtained by reversing the digits of $x$. Suppose $x^2-y^2=m^2$ for a positive integer $m$. What is $x+y+m$?

$88$
$112$
$116$
$144$
$154$