Question : The current ages of Sudhir and Ashish are in the ratio 5 : 7. Twelve years ago, the ratio of their ages was 1 : 2. What will be the age of Sudhir five years from now?
Option 1: 20 years
Option 2: 25 years
Option 3: 33 years
Option 4: 28 years
Correct Answer: 25 years
Solution :
Let the present ages of Sudhir and Ashish be 5$x$ and 7$x$ respectively.
According to the question:
$\frac{5x-12}{7x-12} = \frac{1}{2}$
⇒$10x–24 = 7x–12$
⇒ $3x= 12$
⇒ $x = 4$
Sudhir's present age = 5 × 4 = 20
Sudhir's age after 5 years = 20 + 5 = 25 years
Hence, the correct answer is 25 years.
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