Question

# 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?

A
14
B
18
C
20
D
11

Solution

## The correct option is C $$20$$Let the ages of Rahul and Haroon be $$5x$$ and $$7x$$.Four years later, their ages will  be $$5x+4$$ and $$7x+4$$.Given, the sum of their ages is $$56$$.$$\therefore 5x+4+7x+4 = 56$$$$12x = 56 -8$$$$12 x = 48$$$$\therefore x = 4$$Therefore, age of Rahul will be $$5x=5\times 4=20$$ and that of Haroon will be $$7x=7\times 4=28$$.Thus, Rahul is $$20$$ years and Haroon is $$28$$ years old.Mathematics

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