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

A. 16 years

B. 18 years

C. 28 years

D. 24.5 years

E. None of these

**Answer: Option D **

__Solution(By Examveda Team)__

$$\eqalign{
& {\text{Let}}\,{\text{Rahul's}}\,{\text{age}}\,{\text{be}}\,x\,{\text{years}}. \cr
& {\text{Then,}}\,{\text{Sachin's}}\,{\text{age}} = \left( {x - 7} \right)\,{\text{years}}. \cr
& \therefore \frac{{x - 7}}{x} = \frac{7}{9} \cr
& \Rightarrow 9x - 63 = 7x \cr
& \Rightarrow 2x = 63 \cr
& \Rightarrow x = 31.5 \cr
& {\text{Hence,}}\,{\text{Sachin's}}\,{\text{age}} \cr
& = \left( {x - 7} \right)\,{\text{years}} \cr
& = 24.5\,{\text{years}} \cr} $$ Related Questions on Problems on Ages

A. 2 times

B. $$2\frac{1}{2}\,{\text{times}}$$

C. $$2\frac{3}{4}\,{\text{times}}$$

D. 3 times

A. 4 years

B. 8 years

C. 10 years

D. None of these

A. 14 years

B. 19 years

C. 33 years

D. 38 years

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