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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
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B
18
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C
20
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D
11
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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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