# The sum of 3 consecutive odd integers is 57, what is the smallest integer?

##### 1 Answer

Feb 24, 2016

First, we can call the smallest of the odd integers

Then, we find the next odd integer

Well, odd integers come every other number, so let's say we start from 1. We must add 2 more to 1 to get to the consecutive odd integer

So the middle of our consecutive odd integers can be expressed as

We can apply the same method for the last odd integer, it is 4 more than the first odd integer, so it can be seen as

We are finding the sum to be 57, so we create the equation

Combine like terms:

Subtract:

Divide:

So, our integers are

Check them really quickly, and they work!

The question asks for the smallest of the integers, which would be **17**