Quantitative Aptitude Ques 2238

Question: Before 7 yr, the ratio of ages of A and B was 3: 4. After 9 yr, ratio of their ages will be 7: 8. The present age of B will be [SBI (PO) 2012]

Options:

A) 16 yr

B) 19 yr

C) 28 yr

D) 23 yr

E) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

  • Let the ages of A and B before 7 yr were $ 3x $ yr and $ 4x $ yr, respectively.

$ \therefore $ Present age of $ A=3x+7 $ and present age of $ B=4x+7 $ Now, according to the question,

$ \therefore $ $ \frac{3x+7+9}{4x+7+9}=\frac{7}{8} $

$ \Rightarrow $ $ 24x+128=28x+112 $
$ \Rightarrow $ $ 4x=16 $

$ \therefore $ $ x=4 $ Hence, present age of $ B=4\times 4+7=16+7=23yr $