# What is the greatest of 5 consecutive integers if the sum of these integers equals 185?

##### 1 Answer

Feb 4, 2017

39 is the greatest of the 5 consecutive integers adding to 185.

#### Explanation:

First, let's define the 5 consecutive integers.

We can call the smallest of the 5 consecutive integers

Then, by definition of "consecutive integers" the remaining 4 would be:

The sum of these 5 consecutive integers equals 185 so we can write and solve for

We are looking for the greatest of the 5 consecutive integers or