Ratio And Proportion Ques 14
Question-
$B$ is 8 years older than $A$ and 8 years younger than $C$. 12 years hence, respective ratio of the ages of $A$ and $C$ will be $5: 9$. What is the sum of present ages of A, B and $C$ ?
(1) 58 years
(2) 46 years
(3) 48 years
(4) 60 years
(5) None of these
(IBPS Bank PO/MT CWE-V (Preliminary) 10.10.2015 Ist Sitting)
Show Answer
Correct Answer: (3)
Solution: (3)
Let A’s present age be $x$ years.
$\therefore$ B’s present age $=(x+8)$ years
C’s present age $=(x+16)$ years
After 12 years,
$\frac{\text { A’s age }}{\text { C’s age }}=\frac{5}{9}$
$\Rightarrow \frac{x+12}{x+16+12}=\frac{5}{9}$
$\Rightarrow 9 x+108=5 x+140$
$\Rightarrow 9 x-5 x=140-108$
$\Rightarrow 4 x=32$
$\Rightarrow x=\frac{32}{4}=8$
$\therefore$ Sum of the present ages of A, B and C $=x+x+8+x+16$
$=3 x+24=3 \times 8+24$ $=48$ years
BETA
