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In a set of three numbers, the average of first two numbers is 2, the average of the last two numbers Is 3 and the average of the first and the last numbers is 4. What is the average of three numbers?

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In a set of three numbers, the average of first two numbers is 2, the average of the last two numbers Is 3 and the average of the first and the last numbers is 4. What is the average of three numbers? Answer: 3

Let the three numbers be A, B, and C. Given: 1 (A + B)/2 = 2 → A + B = 4 2 (B + C)/2 = 3 → B + C = 6 3 (A + C)/2 = 4 → A + C = 8 Now, add all three equations: (A+B)+(B+C)+(A+C)=4+6+8 2(A+B+C)=18 A + B + C = 9 Average of the three numbers = (A + B + C) / 3 = 9 / 3 = 3 ✅ Correct Answer: 3

Question context

This question is part of 📏 Arithmetic Aptitude within the broader 🧠 Aptitude Mastery subject and appears in the ASF Airports Security Force preparation collection. Reviewing the answer together with nearby questions helps reinforce the underlying concept and identify how it may appear in competitive exams.