SOLUTION: Maria is twice as old as Jasmine. Six years ago, Maria was three times as old as Jasmine was then. Find the age of each girl.

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Question 249542: Maria is twice as old as Jasmine. Six years ago, Maria was three times as old as Jasmine was then. Find the age of each girl.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Maria is twice as old as Jasmine. Six years ago, Maria was three times as old as Jasmine was then. Find the age of each girl.
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NOW DATA:
Let Maria by "m"
Let Jasmine b "j"
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Equations:
m = 2j
(m-6) = 3(j-6)
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Substitute for "m" and solve for "j":
(2j-6) = 3(j-6)
2j-6 = 3j-18
j = 12 (Jasmine's age now)
Since m = 2j, m = 24 (Maria's age now)
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Cheers,
Stan H.
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