Problem

Source: 2020 Colombia day 1 p1

Tags: number theory, Digits, Perfect Squares, Perfect Square



A positive integer is called sabroso if when it is added to the number obtained when its digits are interchanged from one side of its written form to the other, the result is a perfect square. For example, $143$ is sabroso, since $143 + 341 =484 = 22^2$. Find all two-digit sabroso numbers.