Question

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

Answer 1

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+(n+1)=183`

Simplifying and solving, we get:
`2n+1=183`
`2n=182`
`n=182/2=91`

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