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 $