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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 are their present ages?

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Rahul's age

= 10

years and Haroon's age

= 17

years

Rahul's age

= 25

years and Haroon's age

= 42

years

Rahul's age

= 28

years and Haroon's age

= 50

years

Rahul's age

= 20

years and Haroon's age

= 28

years

answer is D.

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Detailed Solution

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

5 : 7

.
Let the common ratio between Rahul's age and Haroon's age be

x

.
Then, age of Rahul and Haroon will be

5 x

and

7 x

years respectively.
After

4

years, their ages will be

(5 x + 4)

and

(7 x + 4)

rexpectively.
According to the given condition, we have,

5 x + 4 + 7 x + 4 = 56

\Rightarrow 12 x + 8 = 56

\Rightarrow x = 4

Therefore, present age of Rahul is

5 x = 5 \times 4 = 20

years
and present age of Haroon is

7 x = 7 \times 4 = 28

years.
Hence, the correct option is 4.

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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 56years. What are their present ages?

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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 are their present ages?