# If the sum of three consecutive odd integers is 81, what are the integers?

Mar 30, 2018

The integers are 25,27,29

#### Explanation:

let n = the first integer
let n+ 2 = the second integer
let n+ 4 = the third integer

Then add them and set the three integers equal to 81.

$n + n + 2 + n + 4 = 81$ combining like terms gives

$3 n + 6 = 81$ subtract 6 from both sides

$3 n + 6 - 6 = 81 - 6$ this gives

$3 n = 75$ divide both sides by 3

$\frac{3 n}{3} = \frac{75}{3}$ the answer is

$n = 25$

The first integer is 25
The second integer is 27
the third integer is 29