The average age of Vishal and Raghavendra is 24 years. When a new person named Veerender is included with them, the average age of the three persons increases by 1.5 years. What is Veerender's age (in years)?

Introduction:
This problem tests how averages change when a new value is added to a group. The standard technique is to convert averages into totals. First, find the total age of Vishal and Raghavendra using their average. Then, compute the new total age of three people using the increased average. The difference between the new total and the old total gives Veerender's age directly.

Given Data / Assumptions:

• Average of Vishal and Raghavendra = 24 years
• Number of persons initially = 2
• After including Veerender, number of persons = 3
• New average increases by 1.5 years, so new average = 24 + 1.5 = 25.5 years

Concept / Approach:
Total = average * count. Veerender's age = (new total of 3) - (old total of 2).

Step-by-Step Solution:
Old total age (2 persons) = 24 * 2 = 48New average (3 persons) = 25.5New total age (3 persons) = 25.5 * 3 = 76.5Veerender's age = 76.5 - 48 = 28.5

Verification / Alternative check:
If Veerender is 28.5, then total is 48 + 28.5 = 76.5. Divide by 3 gives 25.5, which is exactly 1.5 more than 24. So the result checks out.

Why Other Options Are Wrong:
27 years and 26.5 years: would make the new average less than 25.5.29.5 years and 30.5 years: would push the new average higher than 25.5.

Common Pitfalls:
Adding 1.5 to the total directly instead of to the average.Forgetting to multiply averages by the number of people.Using 2 people instead of 3 while computing the new total.

Final Answer:
28.5 years