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    Find x in the following expression: 537−x=35145\frac 37-x=3 \frac5{14}573​−x=3145​​​
    Question

    Find x in the following expression: 537x=35145\frac 37-x=3 \frac5{14}​​

    A.

    417 \frac17​​

    B.

    2114 \frac1{14}​​

    C.

    537 \frac37​​

    D.

    3214\frac 2{14}​​

    Correct option is B

    Given: 

    537x=35145\frac 37-x=3 \frac5{14} 

    Solution: 

    537x=3514 387x=4714  x=3874714 x=764714=2914=21145\frac 37-x=3 \frac5{14} \\ \ \\ \frac{38}{7} -x = \frac{47}{14} \\ \ \\ \implies x = \frac{38}{7} -\frac{47}{14} \\ \ \\ x = \frac{76 - 47}{14} = \frac{29}{14} =2\frac{1}{14} ​​

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