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.

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step-by-step explanation: