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(C) Let the age of Sachin be $S$ and the age of Rahul be $R$.Given that Sachin is $4$ years younger than Rahul:$S = R - 4$  --- $(i)$The ratio of thei

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$14$

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(C) Let the age of Sachin be $S$ and the age of Rahul be $R$.Given that Sachin is $4$ years younger than Rahul:$S = R - 4$  --- $(i)$The ratio of their ages is $7:9$:$\frac{S}{R} = \frac{7}{9} \Rightarrow 9S = 7R$  --- $(ii)$Substitute $R = S + 4$ from $(i)$ into $(ii)$:$9S = 7(S + 4)$$9S = 7S + 28$$2S = 28$$S = 14$Thus,Sachin is $14$ years old.Shortcut method:Ratio of Sachin to Rahul $= 7:9$.The difference in ratio units is $9 - 7 = 2$ units.Given difference $= 4$ years.$2$ units $= 4$ years $\Rightarrow 1$ unit $= 2$ years.Sachin's age $= 7$ units $= 7 	imes 2 = 14$ years.

Sachin is younger than Rahul by $4$ years. If their ages are in the respective ratio of $7:9$,how old (in years) is Sachin?

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