Two times the smallest of three consecutives even integers is four more than three times the largest. Find the integers.

The integers are - 16, - 14 and - 12.

Step-by-step explanation:

There are 3 consecutive even integers, so we let the 3 numbers be n, n+2 and n + 4.

We are given:-

2n = 3 (n + 4) + 4

2n = 3n + 12 + 4

-n = 16

n = - 16 (answer)