The difference between two positive integers is 3. If the smaller is added to the square of the larger, the sum is 53. Find the integers

Answer 1

L - s = 3

L^2 + s = 53

adding equations (to eliminate s) ... L^2 + L = 56 ... L(L + 1) = 56
... 7 * 8 = 56

substitute back to find s