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    Question

    In a workshop of 50 participants, the average age is 40

    years. One participant aged 38 leaves, and 5 new participants with an average age of 44 join. When the speaker’s age is also included, the average becomes 41 years. What is the age of the speaker?
    A 70 Correct Answer Incorrect Answer
    B 74 Correct Answer Incorrect Answer
    C 72 Correct Answer Incorrect Answer
    D 73 Correct Answer Incorrect Answer
    E 75 Correct Answer Incorrect Answer

    Solution

    Initial total age = 50 × 40 = 2000 years
    Age of 5 new participants = 5 × 44 = 220 years Let the speaker’s age be ‘y’
    New total age without speaker = 2000 - 38 + 220 + y = (2182 + y)
    New total number of people = 50 - 1 + 5 + 1 = 55
    New total age = 55 × 41 = 2255 years
    So, speaker’s age = 2255 - 2182 = 73 years

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