Consecutive integers would be like 1 and 2 for example. If x = 1, then to get from 1 to 2 we add one, or x + 1. Therefore, for the intents and purposes of our equation, our integers will be represented as x and x + 1. The sum of these is 89. So x + x + 1 = 89. 2x + 1 = 89 and 2x = 88. Therefore, x = 44 and x + 1 = 45. Do 44 and 45 add up to 89? Yes, they do! Yay!