SOLUTION: seven years ago,mary was 6times as old as cora.in one year,she will be only twice as old as cora.find their present ages

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Question 88929: seven years ago,mary was 6times as old as cora.in one year,she will be only twice as old as cora.find their present ages
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
seven years ago,mary was 6 times as old as cora.in one year,she will be only twice as old as cora.find their present ages
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7 years ago DATA:
Cora's age = x ; Mary's age = 6x
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NOW DATA:
Cora's age = x+7 ; Mary's age = 6x+7
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One year from now DATA:
Cora's age = x+8 ; Mary's age = 6x+8
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EQUATION: (based on one year from now DATA)
6x+8 = 2(x+8)
6x+8 = 2x+16
4x = 8
x = 2
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x+7 = 9 yrs old (Cora's age NOW)
6x+7 = 19 yrs old (Mary's age NOW)
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Cheers,
Stan H.