Ratio And Proportion Ques 20
Question-
Present age of Ram is equal to Shyam’s age 8 years ago. 6 years hence, the respective ratio between Shyam’s age and Ram’s age will be $6: 5$ at that time. What is Ram’s present age?
(1) 40 years
(2) 24 years
(3) 28 years
(4) 38 years
(5) 34 years
Show Answer
Correct Answer: (5)
Solution: (5)
Ram’s present age $=x$ years
$\therefore$ Shyam’s present age $=(x+8)$ years
After 6 years,
$\frac{x+8+6}{x+6}=\frac{6}{5}$
$\Rightarrow \frac{x+14}{x+6}=\frac{6}{5}$
$\Rightarrow 6 x+36=5 x+70$
$\Rightarrow x=70-36=34$ years