Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:
What is the difference between the ages of Sumit and Dinesh? (Bank P.O., 2006) I. The ratio of their ages is 7 : 9 respectively. II. Five years hence the sum of their ages will be 58 years.
Answer
SELF-PRACTICE — the source book printed no answer.
Nothing is invented here, so this question has no answer on record.
Explanation
From both I and II, we have: Let the present ages of Sumit and Dinesh be $7x$ and $9x$ years respectively. Then, Sumit's age 5 years hence $=(7x+5)$ years; Dinesh's age 5 years hence $=(9x+5)$ years. So, $(7x+5)+(9x+5)=58 \Rightarrow 16x=48 \Rightarrow x=3$. $\therefore$ Required difference $=9x-7x=2x=(2\times3)$ years $=6$ years. Thus, both I and II together give the answer. $\therefore$ Correct answer is (e).
Explanation as extracted from the printed page; notation may be imperfect.