Chapter 1 - Equations and Inequalities - 1.5 Applications and Modeling with Quadratic Equations - 1.5 Exercises - Page 129: 13

$7,9$

Lets call the first integer x, and the second x + 2 $x(x+2) = 63$ $x^2 + 2x = 63$ $x^2 + 2x -63= 0$ $(x-7)(x+9) = 0$ $x = -9, 7$ The correct solution is 7, because -9 is not an integer. Therefore the numbers are $7,9$.