Number System Ques 6
Question
Amit’s present age is three times Pratibha’s present age and ninethirteenth of his father’s present age. The sum of the present age of all of them is 150 years. What is the difference between Pratibha’s present age and Amit’s father’s present age?
(1) 56 years
(2) 64 years
(3) 60 years
(4) Cannot be determined
(5) None of these
(IDBI Bank Officer Exam.16.09.2012)
Show Answer
Answer: (3)
Solution: (3)
Pratibha’s present age $=x$ years
$\therefore$ Amit’s present age $=3 x$ years
$\therefore$ Father’s present age $=\frac{3 x \times 13}{9}=\frac{13 x}{3}$ years
$\therefore x+3 x+\frac{13 x}{3}=150$ $\Rightarrow 3 x+9 x+13 x=150 \times 3$
$\Rightarrow 25 x=150 \times 3$
$\Rightarrow x=\frac{150 \times 3}{25}=18$
$\therefore$ Required difference $=\frac{13 x}{3}-x=\frac{10 x}{3}$ $=\frac{10}{3} \times 18=60$ years
BETA
