Question

    A group of 7 friends had an average age of 24 years.

    When two new friends join the group, the average age of the group increases to 26 years. If the age of second friend is 20% more than that of first friend then, what are the ages of two new friends?
    A 15 years, 18 years Correct Answer Incorrect Answer
    B 20 years, 24 years Correct Answer Incorrect Answer
    C 25 years, 30 years Correct Answer Incorrect Answer
    D 30 years, 36 years Correct Answer Incorrect Answer
    E none Correct Answer Incorrect Answer

    Solution

    Total age of 7 friends = 7×24 = 168 years Total age of 9 friends = 9×26 = 234 years Total age of 2 new friends = 234-168 = 66 years Let the ages of first friends = 5x Then, the ages of second friends = 6x 5x+6x = 66 11x = 66 x = 6 the ages of two new friends = 30 and 36 years.

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