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Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?

16 years
18 years
28 years
24.5 years
Explanation:

Let Rahuls age be $ x $ years.

Then, Sachins age = $\left(x - 7\right)$ years.

$\therefore \dfrac{x - 7}{x} $=$ \dfrac{7}{9} $

$\Rightarrow$ 9$ x $ - 63 = 7$ x $

$\Rightarrow$ 2$ x $ = 63

$\Rightarrow x $ = 31.5

Hence, Sachins age =$\left(x - 7\right)$ = 24.5 years.

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