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      Question

      The average weight of β€˜x’ group members is 56 kg.

      The average weight of (x – 18) women is 55 kg, of (x – 20) children is 50 kg, and of (x – 22) men is 65 kg. Find the value of x.
      A 20 Correct Answer Incorrect Answer
      B 45 Correct Answer Incorrect Answer
      C 30 Correct Answer Incorrect Answer
      D 50 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Total weight = 56 Γ— x = 56x Women = 55 Γ— (x – 18) = 55x – 990 Children = 50 Γ— (x – 20) = 50x – 1000 Men = 65 Γ— (x – 22) = 65x – 1430 Now, 56x = 55x – 990 + 50x – 1000 + 65x – 1430 56x = 170x – 3420 170x – 56x = 3420 114x = 3420 x = 30

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