The age of Samir and Tanuj are in the ratio of 8 : 15 years respectively. After 9 years the ratio of their age will be 11 : 18. What is the difference (in years) between their age?

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BANK PO Exam (RBI) 2007 click here to view all questions

The age of Samir and Tanuj are in the ratio of 8 : 15 years respectively. After 9 years the ratio of their age will be 11 : 18. What is the difference (in years) between their age?

A24 years

B20 years

C33 years

D21 years

Nithin ? undefined

Correct answer is: 21 years

Explanation:

Let the present age of Samir and Tanuj be 8x and 15x years respectively.
According to the question,

After 9 years, \(\Large \frac{8x+9}{15x+9}=\frac{11}{18}\)

=> 165x + 99
=> 144x + 162
=> 165x - 144x = 162 - 99
=> 21x = 63
Therefore, Samir's present age
= 8x = 24 years
Therefore, Tanuj's present age
= 15x = 45 years
Therefore, Required difference
= 45 - 24

= 21 years

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