Question

The sum of two consecutive integers is -49. Write an equation that models the situation and find the values of the two integers.

A. n + 2n = -49; n = -17; 2n = -34

B. n + n + 1 = -49; n = -25; n + 1 = -26

C. n + n + 1 = -49; n = -25; n + 1 = -24

D. n + n + 1 = -49; n = -25; n + 1 = -23

Answer 1

2 consecutive numbers would be n + (n+1)
so you have n + n+1 = -49

combine like terms 2n +1 = -49

subtract 1 from each side:
2n = -50

divide both sides by 2
n = -25

n = -25
then the second number would be -25 +1, which = -24
so the answer is:

C. n + n + 1 = -49; n = -25; n + 1 = -24