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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?


 

Options:
A .  16 years
B .  18 years
C .  28 years
D .  24.5 years
E .  None of these
Answer: Option D

Let Rahul's age be x years.


Then, Sachin's age = (x - 7) years.


So, \(\frac{x-7}{x} = \frac{7}{9}\)


 9x - 63 = 7x


 2x = 63


 x = 31.5


Hence, Sachin's age =(x - 7) = 24.5 years.


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