# The sum of three consecutive numbers is 42. What is the smallest of these numbers?

##### 1 Answer

Dec 16, 2016

The smallest of the three consecutive integers summing to 42 is 13.

#### Explanation:

Let's call the smallest of the three consecutive numbers

The next two consecutive integers, by definition of consecutive and the fact they are integers as:

We know there sum is 42 so we can add our three numbers and solve for

Checking the solution:

The three consecutive integers would be:

Adding the three integers gives: