Subject: General Aptitude · Chapter: Problems on Ages · Exam: 2008 · Marks: · Difficulty:
The ages of Nishi and Vinnee are in the ratio 6 : 5 respectively. After 9 years, the ratio of their ages will be 9 : 8. What is the difference in their ages now ? (Bank P.O., 2008)
(a)3 years
(b)5 years
(c)7 years
(d)9 years
(e)None of these
Answer
Answer (as printed):
Explanation
Let Nishi's age be $6x$ years. Then, Vinnee's age $=5x$ years. $\therefore \frac{6x+9}{5x+9}=\frac{9}{8} \Rightarrow 8(6x+9)=9(5x+9) \Rightarrow 48x-45x=81-72 \Rightarrow 3x=9 \Rightarrow x=3$. Difference in their ages $=(6x-5x)=x$ years = 3 years.
Explanation as extracted from the printed page; notation may be imperfect.