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

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(D) Let the present ages of the father and the son be $5x$ and $2x$ years,respectively.After $4$ years,the age of the son will be $(2x + 4)$ years.Acc

Vedclass · Accepted Answer

Cannot be determined

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(D) Let the present ages of the father and the son be $5x$ and $2x$ years,respectively.After $4$ years,the age of the son will be $(2x + 4)$ years.According to the problem,after $4$ years,the ratio of the son's age to the mother's age will be $1:2$.Let the mother's age after $4$ years be $M_{future}$.Then,$\frac{2x + 4}{M_{future}} = \frac{1}{2}$,which implies $M_{future} = 2(2x + 4) = 4x + 8$.The present age of the mother is $M_{present} = M_{future} - 4 = (4x + 8) - 4 = 4x + 4$.The ratio of the father's present age to the mother's present age is $\frac{5x}{4x + 4}$.Since the value of $x$ is not provided and cannot be derived from the given information,the ratio depends on $x$.Therefore,the ratio cannot be determined.

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

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