# If the sum of two consecutive integers is 107, how do you find the integers?

##### 1 Answer

The two integers are 53 and 54.

#### Explanation:

The key to this question is "two consecutive integers", because if they did not specify this info you would not be able to solve the problem.

Two consecutive integers can be represented by

We are told these two integers sum to 107, which algebraically means this:

Now we have a 2-step equation, which we begin to solve by subtracting 1 from both sides and combining like terms:

Now we divide both sides by 2 to get:

Thus,