Let me show you how I like to do problems like this:
-- If I just needed three numbers that add up to 96, the easiest way
to do it would be to find 1/3 of 96 . That's 32, so the three numbers
could be 32, 32, and 32.
-- If you want three consecutive even numbers, just take 2 away from
one of those numbers, and add it on to a different one.
Now you have 30, 32, and 34, and you haven't changed their sum.