Question

Find three consecutive odd integers that have the same sum of -51. Explain
your reasoning.

Answer 1

Answer: -19, -17, -15

Explanation:

Suppose the smallest integer is x. The next odd integer would be x+2. The next odd integer after that would be x+4.

Ex. 1, 1+2, 1+4

Now the sum of these three integers equal -51, so x+x+2+x+4=-51

3x+6=-51

3x=-57, x = -19

Now add 2 and 4 to get the next two numbers. -17 and -15