The sum of two consecutive integers is - 225. Find the two integers

Since the two integers are consecutive, we can let the first be x and the second be x+1. Then [x] + [x+1] = - 225. Simplifying, 2x + 1 = - 225, or

2x = - 226. Thus, x = - 113 and x+1 = - 113+1 + - 112.

The two consecutive integers are - 112 and - 113. Adding these together results in - 225, as we had hoped.