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    Question

    The average weight of β€˜x’ persons is 65 kg. The

    average weight of (x – 14) women is 64 kg, the average weight of (x – 20) children is 35 kg, and the average weight of (x – 28) men is 50 kg. Find the value of β€˜x’, if total person is the sum of men, women and children.
    A 40 Correct Answer Incorrect Answer
    B 35 Correct Answer Incorrect Answer
    C 45 Correct Answer Incorrect Answer
    D 38 Correct Answer Incorrect Answer

    Solution

    Total weight of x persons = 65 Γ— x = 65x kg Total weight of (x – 14) women = 64 Γ— (x – 14) = 64x – 896 kg According to the question, 65x = 64x – 896 + 35x – 896 + 50x – 1400 65x = 149x – 3192 84x = 3192 x = 38

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