The respective ratio between Parul's present age and Rohit's present age is 7: 5. The sum of their ages 5 years from now will be 94. After how many years, Rohit's age will be equal to Parul's present age?

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Solution

The correct option is C 14
Let the present age of Parul and present age of Rohit be 7x and 5x respectively.
Total age after 5 years from now, 7x + 5x + 10 = 94
$\Rightarrow$ 12x = 84
$\Rightarrow$ x = 7
Therefore, Parul's present age = 7 $\times$ 7 = 49 yr
and Rohit's present age 5 $\times$ 7 = 35 yr
Hence, after 14yr, Rohit's age will be equal to the Parul's present age.

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