SOLUTION: Four years ago, Sara was three times as old as Matthew was then. Twenty years from now, Sara will be twice as old as Matthew will be ten years from now. How old is Matthew now?
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Question 1003224: Four years ago, Sara was three times as old as Matthew was then. Twenty years from now, Sara will be twice as old as Matthew will be ten years from now. How old is Matthew now? Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website! Call their ages NOW, s and m. Then we have
s - 4 = 3(m - 4)
s + 20 = 2(m + 10)
We can simplify these and get
s - 4 = 3m - 12
s = 3m - 8
and
s + 20 = 2m + 20
s = 2m
Since they both equal s, set them equal to find m.
3m - 8 = 2m
m = 8 years old
