Question
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?
Answers
Reiny
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
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