Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:
The ages of Tanya and Simran are in the ratio of 6 : 5. What is Simran's age? I. The ages of Tanya and Deepti are in the ratio of 3 : 2. II. After 6 years the ratio of Deepti's and Simran's ages will be 6 : 7.
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: Deepti : Tanya $=2:3=4:6$ and Tanya : Simran $=6:5$. So, Deepti : Tanya : Simran $=4:6:5$. Let Deepti's and Simran's present ages be $4x$ and $5x$ years respectively. Then, $\frac{4x+6}{5x+6}=\frac{6}{7} \Rightarrow 7(4x+6)=6(5x+6)$ $$\Rightarrow 28x+42=30x+36 \Rightarrow 2x=6 \Rightarrow x=3.$$ $\therefore$ Simran's age $=(5\times3)$ years $=15$ 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.