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Question

The sum of the present ages of mother and her daughter is 50 years. After 20 years, mother's age will be twice her daughter's age at the time. Find their present ages.

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Solution

Let x and y be the present age of mother and her daughter.

Therefore,
x+y=50

x=50y.....(1)

After 20 years, mother's age will be twice her daughter's age at the time.
x+20=2(y+20)

x2y=20.....(2)

From equation (1)&(2), we have
50y2y=20

3y=30

y=10

Substituting the value of y in equation (1), we get
x=5010=40

Hence the present age of mother and her daughter is 40 and 10 years respectively.

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