Six years ago, DJ’s mother was 8 less than twice the age of DJ then. Four years from now, twice her age will be four more than thrice his age. How old is DJ now?

Answer 1

six years ago:
DJ's age ---- x
his mom --- 2x - 8

Now:
DJ ---- x+6
his mom ----2x-8 + 6 = 2x - 2

4 years from now:
DJ --- x+6 + 4 = x+10
his mom --- 2x-2 + 4 = 2x + 2

2(2x+2) = 3(x+10) + 4

solve for x, then sub into x+6