The sum of 3 consecutive odd integers is 57, what is the smallest integer?
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:
So, our integers are
Check them really quickly, and they work!
The question asks for the smallest of the integers, which would be 17