# The sum of three consecutive odd numbers equal 255. What are those three number?

##### 2 Answers

The numbers are

#### Explanation:

The three consecutive odd numbers can be denoted as :

Adding the three numbers:

The numbers are

Since the numbers are consecutive odd numbers, the relationship between the smallest number represented by x and the largest number would be x+ 4, since odd numbers each have a distance of 2 on the number line.

#### Explanation:

Assuming x represents the smallest number, x + 2 represents the middle number and x + 4 represents the largest number.

(x) + (x + 2) + (x + 4) = 255

3x + 6 = 255

3x = 249

x =

x = 83.

The smallest number is 83. Therefore the numbers are 83, 85 and 87.

**Practice exercises:**

- The sum of four consecutive even numbers is 516. Find the 4 numbers.

Hopefully you understand