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    The ratio of three numbers is 9: 8: 7. If the sum of the three numbers is 480, then what is the largest number among the three numbers?
    Question

    The ratio of three numbers is 9: 8: 7. If the sum of the three numbers is 480, then what is the largest number among the three numbers?

    A.

    170

    B.

    180

    C.

    160

    D.

    140

    Correct option is B

    Given:
    Ratio of three numbers = 9:8:7
    Sum of the three numbers = 480
    Solution:
    Let the three numbers be 9x, 8x, and 7x.
    Sum of the numbers = 9x + 8x + 7x
    9x + 8x + 7x = 480
    24x = 480
    x = 20
    The largest number among 9x, 8x, and 7x is 9x:
    9x = 9 ×\times​ 20 = 180
    Thus, the largest number is 180.

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