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    Question

    In a football squad of 22 players, the average weight is

    75 kg. One player weighing 72 kg leaves, and 2 new players with an average weight of 78 kg join. When the coach’s weight is also included, the average weight becomes 76 kg. What is the coach’s weight?
    A 88 kg Correct Answer Incorrect Answer
    B 92 kg Correct Answer Incorrect Answer
    C 90 kg Correct Answer Incorrect Answer
    D 94 kg Correct Answer Incorrect Answer
    E 86 kg Correct Answer Incorrect Answer

    Solution

    Initial total weight = 22 × 75 = 1650 kg
    Weight of 2 new players = 2 × 78 = 156 kg Let the coach’s weight be ‘y’
    New total weight without coach = 1650 - 72 + 156 + y = (1734 + y)
    New total number of people = 22 - 1 + 2 + 1 = 24
    New total weight = 24 × 76 = 1824 kg
    So, coach’s weight = 1824 - 1734 = 90 kg

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