# The sum of three consecutive even integers is 30 more than the largest. What are the integers?

##### 2 Answers

Nov 27, 2016

See explanation.

#### Explanation:

First we have to write the given data in mathematical terms.

The three consecutive even numbers can be written as

From the first sentence of the task we can deduce that the sum of

Now we can calculate the numbers and write the answer:

Answer: **The numbers are: 14, 16 and 18**

Nov 27, 2016

14, 16, 18

#### Explanation:

Let

Hence the sum on the three even integers is:

We are told that this sum is 30 more than the largest which must be

Hence the sequence is: 14, 16, 18

To check: