Problem On Age

Step 1: Understanding the relationship.
Let Rohit's current age be and Vivek's current age be , as the ratio between their ages is 5:3. We are also told that Vivek is 8 years younger than Rohit, so: Thus, Rohit's current age is years, and Vivek's current age is years.
Step 2: Finding the ages after 5 years.
After 5 years, Rohit's age will be , and Vivek's age will be . The ratio of their ages will then be: Step 3: Conclusion.
The correct answer is (A) 21:17, as the ratio of Rohit's age to Vivek's age after 5 years is 21:17.