SOLUTION: Claire, who is six years older then her sister Amy, isnow three times as old as Amy was four years ago. How old are Claire and Amy now?

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Question 173616: Claire, who is six years older then her sister Amy, isnow three times as old as Amy was four years ago. How old are Claire and Amy now?
Answer by nerdybill(7008) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x = Amy's age
then from "Claire, who is six years older then her sister Amy"
x+6 = Claire's age
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From:" is now three times as old as Amy was four years ago."
x+6 = 3(x-4)
x+6 = 3x-12
6 = 2x-12
18 = 2x
9 years = x (Amy's age)
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Claire's age:
x+6 = 9+6 = 15 years