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

Options

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

Answer

C

Explanation

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`.