# How do you find three consecutive odd integers whose sum is 117?

##### 1 Answer

Mar 1, 2016

37, 39, 41

#### Explanation:

Three odd consecutive numbers can be written as x, x+2, and x+4.

Adding these together and setting to the answer we want, we get:

x + x + 2 + x + 4 = 117

Simplifying: 3x+6 = 117

3x = 111

x = 37

Now we find the next two odd numbers by adding 2 and 4 to this number.

37 + 2 = 39

37 + 4 = 41

So your answer is 37, 39 and 41.