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 $