Quantitative Aptitude Ques 724

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 $