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    Three numbers are in the ratio 5/20 : 8/16 : 8/14. The difference between the largest and the smallest number is 54.Find the largest number.
    Question

    Three numbers are in the ratio 5/20 : 8/16 : 8/14. The difference between the largest and the smallest number is 54.
    Find the largest number.

    A.

    97

    B.

    98

    C.

    94

    D.

    96

    Correct option is D

    Given: 

    520:816:814\frac5{20} : \frac8{16} : \frac{8}{14}

    Largest - Smallest number = 54 

    Solution: 

    520:816:814\frac5{20} : \frac8{16} : \frac{8}{14} can be written as

    = 7 : 14 : 16 

    Now 

    16 - 7 unit = 54 

    9 unit = 54 

    1 unit = 6 

    Largest number = 16×6=9616\times 6 = 96​​

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