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?

Report

Report an issue

Name

Email

Message

Submit

Cancel

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

All DiscussionsClick here to write answer

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 Nithin ? answered undefined All Comments

Post your answers here:

Post

Post your comments here:

Message

Post

Cancel