Ratio And Proportion Ques 43
Question-
Five years ago, the ratio of ages of $A$ and $B$ is $3: 2$. $C$ is 7 years younger than $A$. The present age of $C$ is 2 times of D’s present age. What is the present age of $B$, if the age of $D$, after 6 years is 35 years?
(1) 40 years
(2) 42 years
(3) 45 years
(4) 38 years
(5) None of these
(IBPS RRBs Officer CWE Prelim Exam, 13.09.2020)
Show Answer
Correct Answer: (3)
Solution: (3)
D’s present age $=35-6=29$ years
$\therefore$ C’s present age $=2 \times 29$ $=58$ years
$\therefore$ A’s present age $=58+7$ $=65$ years
5 years ago,
A’s age $=3 x$ years
B’s age $=2 x$ years
$\therefore 3 x+5=65$
$\Rightarrow 3 x=65-5=60$
$\therefore x=\frac{60}{3}=20$
$\therefore$ B’s present age $=(2 x+5)$ years $=(2 \times 20+5)$ years $=45$ years
BETA
