Quantitative Aptitude Ques 1039

Question: Radha’s present age is 3 yr less than twice her age 12 yr ago. Also, the respective ratio between Raj’s present age and Radha’s present age is 4: 9. What will be Raj’s age after 5 yr?

Options:

A) 12 yr

B) 7 yr

C) 21 yr

D) Cannot be determined

E) None of the above

Show Answer

Answer:

Correct Answer: E

Solution:

  • Let Radha’s present age be $ xyr. $ Then, Raj’s age $ =\frac{4}{9}xyr $ According to the question, $ x=2(x-12)-3 $
    $ \Rightarrow $ $ x=2x-24-3 $

$ \Rightarrow $ $ -x=-27 $
$ \Rightarrow $ $ x=27 $

$ \therefore $ Raj’s age at present $ =\frac{4}{9}\times 27=12yr $ Hence, Raj’s age after 5 yr $ =(12+5)=17yr $