Question 50

Joe’s present age is 2/7 th of his father’s present age. Joe’s brother is 3 years older than Joe. The respective ratio between present ages of Joe’s father and Joe’s brother is 14 : 5. What is Joe’s present age ?

Solution

Let joe's father's age be'7x' years.
joe's age=$$\frac{2}{7}\times{7x}=2x $$years.
joe's brother's age=2x+3 years.
$$\frac{joe's father's age}{joe's brother's age}=\frac{14}{5}$$.
$$\frac{7x}{2x+3}=\frac{14}{5}$$.
$$x=6$$.
Hence, Joe's age=12 years.
Therefore, Option C is correct.


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