Ratio And Proportion Ques 9
Question-
The respective ratio between the present age of Ram and Rakesh is $6: 11$. Four years ago the ratio of their age was $1: 2$ respectively. What will be Rakesh’s age after five years?
(1) 45 years
(2) 29 years
(3) 49 years
(4) Cannot be determined
(5) None of these
(Corporation Bank PO Exam. 16.01.2011)
Show Answer
Correct Answer: (3)
Solution: (3)
Let Ram’s present age be $6 x$ years and that of Rakesh be $11 x$ years.
Four years ago,
$\frac{6 x-4}{11 x-4}=\frac{1}{2} $
$\Rightarrow 12 x-8=11 x-4 $
$\Rightarrow x=8-4=4$
$\therefore$ Rakesh’s age after five years $=11 x+5$ $=11 \times 4+5=49$ years