Question 969156
larger integer = x
smaller integer = y


x = y + 3
2x = y^2 - 2


Use substitution.


2(y + 3) = y^2 - 2
2y + 6 = y^2 - 2
0 = y^2 - 2y - 8
0 = (y - 4)(y + 2)


The integers are (x, y) = (7, 3) or (1, -2).