SOLUTION: Two years ago a woman was 4 times as old as her daughter. Three years from now the mother will be only three times as old as her daughter. How old are each of them now?

Question 1015984: Two years ago a woman was 4 times as old as her daughter. Three years from now the mother will be only three times as old as her daughter. How old are each of them now?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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M=mother's age; D=daughter's age
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M-2=4(D-2)
M-2=4D-8
M=4D-6
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M+3=3(D+3)
M+3=3D+9
M=3D+6
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4D-6=3D+6
D-6=6
D=12
ANSWER 1: Daughter is 12 years old.
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M=4D-6=4(12)-6=48-6=42
ANSWER 2: Mother is 42 years old.
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CHECK:
M+3=3(D+3)
42+3=3(12+3)
45=3(15)
45=45
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