Ratio And Proportion Ques 22

Question-

Raju’s age four years hence is equal to Simi’s present age. At present Ganga is six years older than Raju. The respective ratio between Simi’s age eight years hence and Ganga’s age two years hence is $10: 9$. What is Raju’s present age?

(1) 24 years

(2) 18 years

(3) 32 years

(4) 20 years

(5) 28 years

Show Answer

Correct Answer: (5)

Solution: (5)

Simi’s present age $=x$ years

$\therefore$ Raju’s present age $=(x-4)$ years

$\therefore$ Ganga’s present age $=(x+2)$ years

According to the question,

$\frac{x+8}{x+4}=\frac{10}{9}$

$\Rightarrow 10 x+40=9 x+72$

$\Rightarrow 10 x-9 x=72-40$

$\Rightarrow x=32$

$\therefore$ Raju’s present age $=(32-4)$ years $=28$ years