Sum of a mother's and daughter's age is 24 and their product is 60 find the mother's age
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Let x and y be the present age of mother and her daughter.
Therefore,
x+y=50
⇒x=50−y.....(1)
After 20 years, mother's age will be twice her daughter's age at the time.
x+20=2(y+20)
⇒x−2y=20.....(2)
From equation (1)&(2), we have
50−y−2y=20
3y=30
⇒y=10
Substituting the value of y in equation (1), we get
x=50−10=40
Hence the present age of mother and her daughter is 40 and 10 years respectively.
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