Simplification Ques 30
Question-
Raman’s present age is three times his daughter’s present age and nine-thirteenth of his mother’s present age. The sum of the present age of all of them is 125 years. What is the difference between the Raman’s daughter’s present age and Raman’s mother’s present age ?
(1) 45 years
(2) 40 years
(3) 50 years
(4) Cannot be determined
(5) None of these
(Allahabad Bank PO Exam. 17.04.2011)
Show Answer
Correct Answer: (3)
Solution: (3)
Let Raman’s present age $=x$ years
$\therefore$ His daughter’s present age $=\frac{x}{3}$ years
His mother’s present age $=\frac{13 x}{9}$ years
$\therefore x+\frac{x}{3}+\frac{13 x}{9}=125$
$\Rightarrow \frac{9 x+3 x+13 x}{9}=125$
$\Rightarrow 25 x=125 \times 9$
$\Rightarrow x=\frac{125 \times 9}{25}=45$
$\therefore$ Required difference $=\frac{13 x}{9}-\frac{x}{3}=\frac{13 x-3 x}{9}=\frac{10 x}{9}$
$=\frac{10}{9} \times 45=50$ years
BETA
