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 $