# The sum of three consecutive integers is 75, what are the integers?

##### 2 Answers

Three consecutive integers can be written as

Adding them:

so ,

the numbers are

This is the type of puzzle that we should try to perform as mental math *(in your head*). The answer is

#### Explanation:

To arrive at this answer, we can avoid a lot of math formulas, and the use of a calculator by investigating the given statement and quantities.

Three consecutive integers means three numbers that follow each other like *sum*.

But in this case the desired sum of *three consecutive integers* is

That means we can start by dividing the target *sum*

That means

But if we take a

If you can understand this method and are careful in using it you will save a lot of time when these types of puzzles appear.