Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: 2007 · Marks: · Difficulty:
The ages of Chinmay and Maulik are in the ratio of 5 : 2 respectively. After 7 years, the ratio of their ages will be 4 : 3. What is the age of Chinmay?
Answer
Answer (as printed):
Explanation
Let the present ages of Chinmay and Maulik be $5x$ and $2x$ years respectively. Chinmay's age 7 years hence $=(5x+7)$ years. Maulik's age 7 years hence $=(2x+7)$ years. $$\therefore \quad \frac{5x+7}{2x+7}=\frac{4}{3} \Leftrightarrow 3(5x+7)=4(2x+7) \Leftrightarrow 15x+21=8x+28 \Leftrightarrow 7x=7 \Leftrightarrow x=1.$$ Hence, Chinmay's age = 5 years.
Explanation as extracted from the printed page; notation may be imperfect.