Ratio And Proportion Ques 38
Question-
A’s age 7 years ago was 10 years more than half his present age. The respective ratio between B’s age 4 years ago and A’s age that time was $2: 5$. If C’s age 12 years hence will be thrice of B’s age 2 years ago, what is C’s present age? (in years)
(1) 38
(2) 30
(3) 42
(4) 37
(5) 35
(Canara Bank PO Exam 04.03.2018)
Show Answer
Correct Answer: (2)
Solution: (2)
A’s present age $=x$ years
According to the question,
$x-7=\frac{x}{2}+10$
$\Rightarrow x-\frac{x}{2}=10+7$
$\Rightarrow \frac{x}{2}=17$
$\Rightarrow x=34$ years
Again,
B’s present age $=y$ years
$\therefore \frac{y-4}{30}=\frac{2}{5}$
$\Rightarrow y=\frac{2}{5} \times 30+4$
$\Rightarrow y=16$ years
$\therefore C+12=3 \times(16-2)=42$
$\Rightarrow C=42-12=30$ years