Ratio And Proportion Ques 18
Question-
At present, the respective ratio between the ages of $A$ and $B$ is $3: 4$ and that between $A$ and $C$ is $1: 2$. Six years hence, the sum of the ages of $A, B$ and $C$ will be 96 years. What is the present age of A?
(1) 12 years
(2) 21 years
(3) 18 years
(4) 15 years
(5) 9 years
(IBPS Bank PO/MT CWE-V (Pre.) 04.10.2015)
Show Answer
Correct Answer: (3)
Solution: (3)
$A: B=3: 4$
A : $C=1: 2=3: 6$
$\therefore A: B: C=3: 4: 6$
According to the question,
After 6 years,
Sum of ages of A, B and C $=96$
$\Rightarrow 3 x+4 x+6 x+18=96$
$\Rightarrow 13 x=96-18=78$
$\Rightarrow x=\frac{78}{13}=6$
$\therefore$ A’s present age $=3 x$ $=3 \times 6=18$ years