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    Question

    A team consists of a certain number of members. If 4

    people with an average weight of 65 kg leave the team, the average weight of the remaining members decreases by 1.5 kg. If 5 people each weighing 66 kg leave, the average drops by 2.5 kg. What was the total number of people in the team?
    A 11 Correct Answer Incorrect Answer
    B 16 Correct Answer Incorrect Answer
    C 15 Correct Answer Incorrect Answer
    D 18 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the number of team members and average weight be 'n' and 'm' kg, respectively.

    So, mn - 4 × 65 = (n - 4) × (m - 1.5)

    ⇒ mn - 260 = mn - 1.5n - 4m + 6

    ⇒ 4m + 1.5n = 266 --------- (I)

    And, mn - 5 × 66 = (n - 5) × (m - 2.5)

    ⇒ mn - 330 = mn - 2.5n - 5m + 12.5

    ⇒ 5m + 2.5n = 342.5 -------- (II)

    Now solving:

    5 × equation I: 20m + 7.5n = 1330

    4 × equation II: 20m + 10n = 1370

    Subtracting:

    7.5n - 10n = -40

    ⇒ -2.5n = -40

    ⇒ n = 16

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