Question: The ratio between the present ages of Dheeraj and Raman is 2: 3. 4 yr ago, the ratio between their ages was 5: 8. What will be Dheeraj’s age after 7 yr?
Options:
A) 29 yr
B) 35 yr
C) 31 yr
D) 33 yr
E) 41 yr
Show Answer
Answer:
Correct Answer: C
Solution:
- Let present age of Raman be $ x. $
Then, present age of Dheeraj $ =\frac{2x}{3} $
Four years ago,
$ \frac{\frac{2x}{3}-4}{x-4}=\frac{5}{8} $
$ \Rightarrow $ $ \frac{2x-12}{3(x-4)}=\frac{5}{8} $
$ \Rightarrow $ $ 16x-96=15x-60 $
$ \Rightarrow $ $ x=36 $
$ \therefore $ Dheeraj s age after 7 yr $ =\frac{2x}{3}+7=\frac{2\times 36}{3}+7 $
$ =24+7=31yr $