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    Question

    Three numbers are in the ratio 1:2:2, and the sum of their

    squares is 225. What is the average of the two largest numbers?
    A 5 Correct Answer Incorrect Answer
    B 10 Correct Answer Incorrect Answer
    C 12 Correct Answer Incorrect Answer
    D 22 Correct Answer Incorrect Answer

    Solution

    ATQ;
    Let the numbers be x, 2x, and 2x.

    Then:

    x┬▓ + (2x)┬▓ + (2x)┬▓ = 225

    тЗТ x┬▓ + 4x┬▓ + 4x┬▓ = 225

    тЗТ 9x┬▓ = 225

    тЗТ x┬▓ = 25

    тЗТ x = 5

    So, the numbers are 5, 10, 10

    Required average = (10 + 10) ├╖ 2 = 10

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