Question

The sum of three consecutive odd integers is 45. What are the integers

Answer 1

13, 15 17

Explanation:

Let x = 1st number

Let x + 2 = 2nd number

Let x + 4 = 3rd number

x + x + 2 + x + 4 = 45 Combine like terms

3x + 6 = 45 Subtract 6 from both sides

3x + 6 - 6 = 45 - 6

3x = 39 Divide both sides by 3

`(3x)/(3)` =
`(39)/(3)`

x = 13

Check:

13 + 15 + 17 = 45