Quantitative Aptitude Ques 1064

Question: The present ages of Vishal and Shekhar are in the ratio of 14: 17, respectively. Six years from now, their ages will be in the ratio of 17: 20 respectively. What is Shekhar’s present age? [NICL (AO) 2014]

Options:

A) 17 yr

B) 51 yr

C) 34 yr

D) 28 yr

E) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • [c] Let present age of Vishal $ =14x $ and present age of Shekhar $ =17x $ After 6 yr, age of Vishal $ =14x+6 $ Age of Shekar $ =17x+6 $ According to the question, $ \frac{14x+6}{17x+6}=\frac{17}{20} $

$ \Rightarrow $ $ 20,(14x+6)=17,(17x+6) $

$ \Rightarrow $ $ 280x+120=289x+102 $

$ \Rightarrow $ $ 9x=18\Rightarrow x=2 $ Shekhar’s present age $ =17\times 2=34,yr $