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