# How do you find three consecutive even integers such that three times the largest is 34 more than the sum of the two smaller integers?

##### 1 Answer

See a solution process below:

#### Explanation:

Let's call the smallest of the three consecutive integers:

Because these are consecutive even integers it means we can write the other two integers as:

Now, we can write "three times the largest" as:

And if this is equal to "34 more than the sum of the two smaller integers" we can write this as the equation:

We can now solve for

Therefore the three consecutive even integers are: