Question

What is the sum of ages of Murali and Murugan? 
Statements: I. Murali is 5 years older than Murugan. 
Statements: II. The average of their ages is 25

• A. Statement I alone is sufficient to determine the answer
• B. Statement II alone is sufficient to determine the answer
• C. Both statements I and II are needed to answer the question
• D. Data in both the statements I and II together are not sufficient

Answer 1

The Correct Option is B

Let the ages of Murali and Murugan be \( M \) and \( G \), respectively. 
From Statement II, the average of their ages is 25: \[ \frac{M + G}{2} = 25 \quad \Rightarrow \quad M + G = 50 \] Thus, Statement II is sufficient to determine the sum of their ages. 
When dealing with averages, multiplying by the total number of items gives the sum directly.