# The sum of two consecutive integers is 183. What is the smaller integer?

Jul 19, 2016

The smaller integer is $92$.

#### Explanation:

Let's first define variable names for the stuff we don't know.

Let $n$ be the smaller integer, and if the two integers are consecutive, then the next integer will be $n + 1$. For example, if the smaller integer is $80$, then the next integer will be $80 + 1$, or $81$.

We are told that the sum of these two integers is $183$, so:
$n + \left(n + 1\right) = 183$

Simplifying and solving, we get:
$2 n + 1 = 183$
$2 n = 182$
$n = \frac{182}{2} = 91$

Since we said $n$ was the smaller integer, and $n = 92$, the smaller integer is $92$.