A and B are two distinct digits If the sum of the two digit numbers formed by using both the digits ...........

Quant (SSC) Number System

A and B are two distinct digits. If the sum of the two-digit numbers formed by using both the digits is a perfect square, what is the value of (A + B)?

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Explanation:

It is given that AB + BA = perfect square
(10A + B) + (10B + A) = perfect square
11(A + B) = perfect square.
For being a perfect square, (A + B) should be 11.