Question

Sum of age of mother and her daughter is 60 years. After 15 years mother age will twice as that of her daughter's age at that time. find the present age.

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Answer 1

Let present age of mom=x years and that of daughter = y years.

Given: x+y = 60......(1)

After 15 years, mom age will be (x+15) and that of her daughter will be (y+15).

By question, (x+15) =2(y+15).......(2)

Or,x+15=2y+30

Or,x-2y=15

Or, (60-y)-2y =15. (Using equation 1)

Or,60-3y =15

Or,3y =45

Therefore, y=45/3 =15 years

Putting this value of y in (1), we get

x+15=60

Or, x =60-15 =45 years.

Therefore present ages of mother (x)=45 years and that of daughter(y) =15 years.