SOLUTION: Next year, Emily will be twice as old as Sean was. Four years ago, she was three times as old as Sean. How old is each now?

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Question 1034953: Next year, Emily will be twice as old as Sean was. Four years ago, she was three times as old as Sean. How old is each now?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the ages of Emily and Sean NOW, e and s. Then we write
e + 1 = 2s or e = 2s - 1
e - 4 = 3(s - 4)
Substitute in and get
2s-1 - 4 = 3(s - 4)
2s - 5 = 3s - 12
ow add 12 and subtract 2s...we get
s = 7 which means
e = 2(7) - 1 = 13