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The ratio of the present ages of a mothe...

The ratio of the present ages of a mother and her daughter is 7:1. Four years ago, the ratio of their ages was 19:1. What will be the mothers age four years from now? a. 42 years b. 38 years c. 46 years d. 36 years e. none of these

A

42 years

B

38 years

C

46 years

D

36 years

Text Solution

Verified by Experts

The correct Answer is:
C
Let the ages the mother and daughter be 7x and x years respectively.
`therefore` Four years ago, `(7x-4)/(x-4)=(19)/(1)`
`rArr 19x-76=7x-4`
`rArr 12x=72=x=6`
`therefore `Mother's age after four years
`=7x+4=46 years`.
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Knowledge Check

  • The ratio of the present ages of a mother and daughter is 7:1. Four years ago the ratio of their ages was 19:1. What will be the mother's age four years from now?

    A
    42 years
    B
    38 years
    C
    46 years
    D
    36 years

  • The ratio of the ages of A and B 8 years ago was 2 : 3. Four years ago, the ratio of their ages was 5 : 7. What will be the ratio of their ages 8 years from now?

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    `7:8`
    B
    `4:5`
    C
    `5:6`
    D
    `3:4`

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