Ratio And Proportion Ques 15
Question-
’ $B$ ’ is 3 years older than ’ $A$ ’ and ’ $B$ ’ is also 3 years younger than ‘C’. 3 years hence, the respective ratio between the ages of $A$ and $C$ will be $4: 5$. What is the sum of the present ages of A, B and $C$ ?
(1) 48 years
(2) 56 years
(3) 63 years
(4) 84 years
(5) 72 years
(IBPS Bank PO/MT CWE-V (Preliminary) 10.10.2015)
Show Answer
Correct Answer: (5)
Solution: (5)
According to the question,
$B=A+3 $
$\Rightarrow A=B-3$
and $B=C-3 $
$\Rightarrow C=B+3$
Again, after 3 years,
$\frac{B-3+3}{B+3+3}=\frac{4}{5}$
$\Rightarrow \frac{B}{B+6}=\frac{4}{5}$
$\Rightarrow 5 B=4 B+24$
$\Rightarrow 5 B-4 B=24$
$\Rightarrow B=24$
$\therefore A+B+C=B-3+B+B+3$
$=3 B=3 \times 24=72$ years
BETA
