Q.

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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a

    Rahul's age =10 years and Haroon's age =17 years

b

    Rahul's age =25 years and Haroon's age =42 years

c

    Rahul's age =28 years and Haroon's age =50 years

d

    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 5x and 7xyears respectively.
After 4 years, their ages will be (5x+4) and (7x+4)rexpectively.
According to the given condition, we have,
5x+4+7x+4=56 12x+8=56 x=4
Therefore, present age of Rahul is 5x=5×4=20 years
and present age of Haroon is 7x=7×4=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?