# How do you find two consecutive odd integers whose sum is 56?

##### 1 Answer

Mar 11, 2016

27 and 29.

#### Explanation:

To be an odd integer, a number should be in the form:

(2x + 1).

The next consecutive integer will be (2x + 1 + 2) = (2x + 3)

Write that the sum of them equals to 56.

(2x + 1) + (2x + 3) = 56.

4x + 4 = 56

4x = 52

x = 13.

Answers:

The 2 numbers are: (2x + 1) = 26 + 1 = 27, and (2x + 3) = 26 + 3 = 29.

Check:

27 + 29 = 56. OK