Question : The ratio of the present ages of Ram and Ramesh is 3 : 5. After 7 years the ratio of their ages will be 4 : 5. Find the present age of Ramesh.
Option 1: 5 years
Option 2: 15 years
Option 3: 7 years
Option 4: 12 years
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Correct Answer: 7 years
Solution : Let the present age of Ram and Ramesh be $3x$ and $5x$. According to the question, After 7 years, $\frac{3x+7}{5x+7}=\frac{4}{5}$ ⇒ $15x + 35 = 20x + 28$ ⇒ $35 - 28 = 20x - 15x$ ⇒ $5x = 7$ ⇒ $x = \frac{7}{5}$ So, the present age of Ramesh $= 5 × \frac{7}{5}=7$ years Hence, the correct answer is 7 years.
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