SOLUTION: A mother is four times as old as her daughter. In 20 years she will be twice as old as her daughter. How old are mother and daughter now?

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Question 121698: A mother is four times as old as her daughter. In 20 years she will be twice as old as her daughter. How old are mother and daughter now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let m = Mother's age now
Let d = daughter's age now
m+=+4d
Read the 2nd part as: When both Mother and Daughter are
20 years older, The mother will be twice as old
m+%2B+20+=+2%28d+%2B+20%29
Substitute 1st equation into 2nd
4d+%2B+20+=+2d+%2B+40
2d+=+20
d+=+10 daughter's age now
m+=+4d
m+=+40 mother's age now
check:
m+%2B+20+=+2%28d+%2B+20%29
40+%2B+20+=+2%2810+%2B+20%29
60+=+2%2A30
60+=+60
OK