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    Question

    The average weight of a group of 18 people is 35 kg. Six

    people leave the group, and the average weight of the remaining people increases by 3 kg. Find the average weight of the new group of people who joined the group to replace those who left, assuming the overall average weight returns to 40 kg.
    A 36 Correct Answer Incorrect Answer
    B 38 Correct Answer Incorrect Answer
    C 40 Correct Answer Incorrect Answer
    D 44 Correct Answer Incorrect Answer
    E 45 Correct Answer Incorrect Answer

    Solution

    Total weight of 18 people = 18 × 35 = 630 kg  Total weight of remaining 12 people = 12 × 38 = 456 kg  When the new group of 6 members joined, the total weight of 18 people = 18 × 40 = 720 kg  Total weight of new 6 people = 720 - 456 = 264 kg  Required average = 264 / 6 = 44 kg

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