Two years ago the age of Rajan was 4 times that of his son After 5 years the ratio of ages of Rajan ...........

Quant (SSC) Problems based on Ages

Two years ago, the age of Rajan was 4 times that of his son. After 5 years, the ratio of ages of Rajan to his son will be 5:2. What is the present age of his son?

8 years

9 years

12 years

15 years

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Master Problems based on Ages

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Explanation:

Let age of Rajan be x and that of his son be y
So as per the question:
(x – 2) : (y – 2) = 4 : 1
or 4 (y – 2)= x – 2 (this is the first equation)
(x + 5) : (y + 5) = 5/2 or 5(y + 5)
= 2(x + 5) (this is the second equation)
Solving both of them we get x = 30 and y = 9
So present age of the son is 9 years