Question 891190
I decided to do it again.

Being consecutive even numbers, we need to add 2 to the previous number.

Assign variables :

Let x = first consecutive even 
Let x + 2 = second consecutive even
Let x + 4 = third consecutive even

4x = 6 + 2(x+4)

4x = 6 + 2x + 8

4x = 2x + 14

4x - 2x = 14

2x = 14

x = 14/2

x = 7

The numbers are 7, 9, and 11.

As you can see,  the numbers are odd not even. There could be a typo in your original question. There is no way we can get three consecutive even integers from this question. We get three consecutive odd integers.