Subject: General Aptitude · Chapter: Problems on Ages · Exam: · Marks: · Difficulty:
The ages of Samina and Suhana are in the ratio of 7 is the difference between the ages of Subhash and : 3 respectively. After 6 years, the ratio of their ages Prasad? (Railways, 2006) will be 5 : 3. What is the difference in their ages?
(a)6 years
(b)8 years
(c)10 years
(d)12 years
(e)None of these
Answer
Answer (as printed): B
Explanation
Let Samina's age be $7x$ years. Then, Suhana's age $=3x$ years. $$\frac{7x+6}{3x+6}=\frac{5}{3} \Rightarrow 3(7x+6)=5(3x+6) \Rightarrow 21x+18=15x+30 \Rightarrow 6x=12 \Rightarrow x=2.$$ Difference in their ages $=(7x-3x)$ years $=4x$ years $=(4\times 2)$ years $=8$ years.
Explanation as extracted from the printed page; notation may be imperfect.