Question

Find the smallest possible value of x+y so that x^2 − y^2 is divisible by 74, where x and y are positive integers.

Answer 1

Answer: 2

Explanation:

We know by different of squares, (x-y)(x+y)=74. Since we need to find the smallest possible answer for x+y, we let x+y=2, where both x and y = 1.