The sum of two consecutive integers is 37. Write an equation that models this situation and find the values of the two integers.

A. n + 2n = 37; n = 12; 2n = 24

B. n + n + 1 = 37; n = 18; n + 1 = 17

C. n + n + 1 = 37; n = 18; n + 1 = 19

D. n + n + 1 = 37; n = 19; n + 1 = 20

C. n + n + 1 = 37; n = 18; n + 1 = 19

Step-by-step explanation:

If we let n represent the smaller integer, then the larger one is n+1. Their sum is 37, so you have ...

n + (n+1) = 37

When you subtract 1 and collect terms, you have ...

2n = 36

Dividing by 2 gives you ...

n = 18

Then the larger integer is ...

n+1 = 19

The matching choice is C.