Question: 7 yr ago, the ages of A and B were in the ratio 4: 5 and 7 yr hence, they will be in the ratio 5: 6. The present age of B is
Options:
A) 56 yr
B) 70 yr
C) 63 yr
D) 77 yr
Show Answer
Answer:
Correct Answer: D
Solution:
- Let present age of A be x yr and present age of B be y yr.
According to the question,
$ \frac{x-7}{y-7}=\frac{4}{5} $
$ \Rightarrow $ $ 5x-35=4y-28 $
$ \Rightarrow $ $ 5x-4y=7 $
(i)
and $ \frac{x+7}{y+7}=\frac{5}{6} $
$ \Rightarrow $ $ 6x+42=5y+35 $
$ \Rightarrow $ $ 6x-5y=-7 $
(ii)
On solving Eqs. (i) and (ii), we get
$ y=77yr $