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    Question

    In a group of 28 friends, the average age is 22 years.

    One person aged 20 leaves, and 2 new people with an average age of 24 years join. When a new member’s age is also included, the average age becomes 23 years. What is the age of the new member?
    A 44 years Correct Answer Incorrect Answer
    B 42 years Correct Answer Incorrect Answer
    C 46 years Correct Answer Incorrect Answer
    D 48 years Correct Answer Incorrect Answer
    E 40 years Correct Answer Incorrect Answer

    Solution

    Initial total age = 28 × 22 = 616 years
    Age of 2 new members = 2 × 24 = 48 years Let the new member’s age be ‘y’ years.
    New total age = 616 - 20 + 48 + y = (644 + y) years
    New total number of people = 28 - 1 + 2 + 1 = 30
    New total age = 30 × 23 = 690 years
    So, age of the new member = 690 - 644 = 46 years

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