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    Question

    The average weight of ‘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 × x = 56x Women = 55 × (x – 18) = 55x – 990 Children = 50 × (x – 20) = 50x – 1000 Men = 65 × (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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