Quantitative Aptitude Ques 759

Question: At present Kavita is twice Savita’s age. Eight years hence, the respective ratio between Kavita’s and Savita’s ages, then will be 22: 13. What is Kavita’s present age?

Options:

A) 26 yr

B) 18 yr

C) 42 yr

D) 36 yr

E) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

  • Let Savita’s age be $ x $ yr. Then, Kavita’s present age $ =2x $ According to the question, $ \frac{2x+8}{x+8}=\frac{22}{13} $

$ \Rightarrow $ $ 13(2x+8)=22(x+8) $

$ \Rightarrow $ $ 26x+104=22x+176 $

$ \Rightarrow $ $ 26x-22x=176-104 $
$ \Rightarrow $ $ 4x=72 $ $ x=18 $

$ \therefore $ Kavita’s age $ =2\times 18=36yr $