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    Question

    The average weight of 5 students in a study group is 38

    kg. If the weight of 2 mentors is also included, then the new average weight of each person (mentor + student) in the study group becomes 42 kg. Find the average weight of the two mentors.
    A 20 kg Correct Answer Incorrect Answer
    B 80 kg Correct Answer Incorrect Answer
    C 50 kg Correct Answer Incorrect Answer
    D 70 kg Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the average weight of the two mentors be 'x' kg. So, total weight of the two mentors = 2 × x = '2x' kg. ATQ: 38 × 5 + '2x' = 42 × (5 + 2) Or, 190 + 2x = 42 × 7 Or, 190 + 2x = 294 Or, 2x = 294 - 190 = 104 Or, x = 104 ÷ 2 = 52 Therefore, the average weight of the two mentors is 52 kg.

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