# How do you find three consecutive odd integers such that the sum of the first and third equals the sum of the second and 25?

##### 1 Answer

Jun 29, 2016

The three consecutive odd integers are 23, 25, 27.

#### Explanation:

Let

So,

Let's us translate the given expression into algebraic expression:

sum of the first and the third integer equals the sum of the second and 25

that means :

if we add the first and third integer that is :

equals to the sum of the second and 25:

The equation will be stated as:

Solving the equation we have:

So the first odd integer is 23

The second integer will be

The third integer is

So the three consecutive odd integers are:23 ,25 ,27.