# How do you find all sets of three consecutive odd integers whose sum is between 20 and 30?

##### 1 Answer

Feb 11, 2016

Write the odd numbers in the form

#### Explanation:

Any set of three consecutive odd integers may be written as

Then, we just need to find a condition on

Simplifying, we get

Subtracting

Dividing by

Thus we will have a set with the desired property when

and