# How do you find the two consecutive integers that add to 87?

Jun 10, 2016

$\left\{43 , 44\right\}$

#### Explanation:

Let $n$ represent the lesser of the two integers. Then the greater is $n + 1$ and we have

$n + \left(n + 1\right) = 87$

$\implies 2 n + 1 = 87$

$\implies 2 n = 86$

$\implies n = 43$

Thus, the two integers are $\left\{n , n + 1\right\} = \left\{43 , 44\right\}$

$43 + 44 = 87$