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The ages of Rahul and Haroon are in the ratio $5 : 7$ . Four years later the sum of their ages will be $56$ years. What is the present age of Rahul?

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14

18

20

11

answer is C.

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Detailed Solution

It is given the ages of Rahul and Haroon are in the ratio

5 : 7

and four years later the sum of their ages will be

56

years.
Let the ages of Rahul and Haroon be

5 x

and

7 x

.
Four years later,
their ages will be

5 x + 4

and

7 x + 4

.
According to the question,

5 x + 4 + 7 x + 4 = 56

\Rightarrow 12 x = 56 - 8

\Rightarrow 12 x = 48

\Rightarrow x = 4

Therefore,
Rahul will be

5 x = 5 \times 4 = 20

years
Haroon will be

7 x = 7 \times 4 = 28

years
Thus, Rahul is

20

years and Haroon is

28

years old.
Hence, the correct option is 3.

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