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If the average of m numbers is n₂ and that of n numbers is m₂ , then the average of (m + n) numbers is?

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If the average of m numbers is n₂ and that of n numbers is m₂ , then the average of (m + n) numbers is? Answer: Mn

Sum of m numbers = mn₂ Sum of n numbers = nm₂ Average of (m + n) numbers = mn(m+n)/(m+n) = mn

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.