Quantitative Aptitude Ques 2167

Question: Joe’s present age is $ \frac{2}{7},th $ of his father’s present age. Joe’s brother is 3 yr older to Joe. The respective ratio between present ages of Joe’s father and Joe’s brother is 14: 5. What is Joe’s present age? [SBI (PO) Pre 2015]

Options:

A) 6 yr

B) 15 yr

C) 12 yr

D) 18 yr

E) 20 yr

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let the Joe’s father present age = x yr Joe’s present age $ =\frac{2}{7}x $ Joe’s elder brother present age $ =\frac{2}{7}x+3,yr $ According to the question, $ \frac{x}{3+\frac{2}{7}x}=\frac{14}{5} $
    $ \Rightarrow $ $ 5x=14,( 3+\frac{2}{7}x ) $

$ \Rightarrow $ $ 5x=42+4x $

$ \Rightarrow $ $ 5x-4x=42 $
$ \Rightarrow $ $ x=42yr $ Joe’s present age $ =\frac{2}{7}x=\frac{2}{7}\times 42=2\times 6=12yr $