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      Question

      The average age of a group is 40 years. When two members

      having an average age of 58 years leave the group, the average age drops by 3 years. What was the original number of people in the group?
      A 12 Correct Answer Incorrect Answer
      B 10 Correct Answer Incorrect Answer
      C 14 Correct Answer Incorrect Answer
      D 17 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the number of people in the group initially be 'n'.

      (40n - 2 Γ— 58) Γ· (n - 2) = 40 - 3

      Or, 40n - 116 = 37n - 74

      Or, 3n = 42

      Or, n = 14

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