The ratio of the ages of a father and a son a | vedclass

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(D) Let the present age of the father be $5x$ and the son be $2x$.After $4$ years,the age of the son will be $(2x + 4)$.According to the problem,the r

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Cannot be determined

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(D) Let the present age of the father be $5x$ and the son be $2x$.After $4$ years,the age of the son will be $(2x + 4)$.According to the problem,the ratio of the son's age to the mother's age after $4$ years is $1:2$.So,$\frac{2x + 4}{M + 4} = \frac{1}{2}$,where $M$ is the mother's present age.$2(2x + 4) = M + 4$$4x + 8 = M + 4$$M = 4x + 4$.The ratio of the father's age to the mother's age is $\frac{F}{M} = \frac{5x}{4x + 4}$.Since the value of $x$ is not provided,the ratio depends on $x$ and cannot be determined.

The ratio of the ages of a father and a son at present is $5:2$. $4$ years hence,the ratio of the ages of the son and his mother will be $1:2$. What is the ratio of the present ages of the father and the mother?

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