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=22². Find all two-digit Sabroso numbers.

The 2-digit Sabroso numbers are:29, 38, 47, 56, 65, 74, 83, 92.

Posted by K Sengupta on 2024-06-10 12:08:49