Ratio And Proportion Ques 19

Question-

Four years ago, the respective ratio between the age of Ram and that of Sonu, was $4: 9$. Tina is ten years older than Ram. Tina is ten years younger than Sonu. What is Tina’s present age?

(1) 40 years

(2) 36 years

(3) 30 years

(4) 20 years

(5) 42 years

(IBPS Specialist Officer (IT) CWE 14.02.2016)

Show Answer

Correct Answer: (3)

Solution: (3)

Ram’s present age $=(4 x+4)$ years

Sonu’s present age $=(9 x+4)$ years

According to the question,

$4 x+4+10=9 x+4-10$

$\Rightarrow 4 x+14=9 x-6$

$\Rightarrow 9 x-4 x=14+6 $

$\Rightarrow 5 x=20$

$\Rightarrow x=4$

$\therefore$ Tina’s present age $=4 x+14$ $=4 \times 4+14=30$ years