Question

The difference of two squares of two positive integers is 325 and their difference is 3 what are the numbers

Answer 1

let the two integers be x and y, with x as the larger
x - y = 3 , and x^2 - y^2 = 325

x^2 - y^2 = 325
(x+y)(x-y) = 325
(x+y)(3) = 325
x + y = 108.333... , but the sum of 2 integers would still be an integer, so

either you have a typo, or else the question is bogus.

Answer 2

let the two integers be x and y, with x as the larger
x - y = 3 , and x^2 - y^2 = 325

x^2 - y^2 = 325
(x+y)(x-y) = 325
(x+y)(3) = 325
x + y = 108.333..., but the sum of 2 integers would still be an integer,