# The sum of three consecutive integers is 1,623. What are the numbers?

##### 1 Answer

The three consecutive integers are

#### Explanation:

Three consecutive integers are three numbers in a row. For example, 4, 5 and 6 are three consecutive integers. If you start with the first number, you get the second number by adding 1 to the first number (4+1=5). You get the third number by adding 2 to the first number (4+2=6).

Let's call the first number (integer)

Find the second number by adding 1 to the first. So the

2nd consecutive integer is

Find the 3rd number by adding 2 to the first. The 3rd consecutive integer is

The problem also states that the sum of the three consecutive integers is

Combine like terms. First, add the three x's.

Next, add the 1 and the 2.

Divide both side by 3.

The first consecutive integer is

Find the 2nd number by adding 1 to the first.

The 2nd consecutive integer is

Find the 3rd number by adding 2 to the first.

The 3rd consecutive integer is

These three number "in a row" are three consecutive integers. Their sum is 1623. Let's check: