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    If 1923−714=x+21219\frac{2}{3}-7\frac{1}{4}=x+2\frac{1}{2}1932​−741​=x+221​​, then what will be the value of xxx​?
    Question

    If 1923714=x+21219\frac{2}{3}-7\frac{1}{4}=x+2\frac{1}{2}​, then what will be the value of xx​?

    A.

    911129\frac{11}{12}​​

    B.

    91129\frac{1}{12}​​

    C.

    1112\frac{11}{12}​​

    D.

    1191211\frac{9}{12}​​

    Correct option is A

    Given:

    1923714=x+212\frac{2}{3} - 7\frac{1}{4} = x + 2\frac{1}{2}

    Solution: 

    57+2328+14=x+4+12\frac{57 + 2}3-\frac{28+1}4 = x + \frac{4+1}2 

    59329452=x\frac{59}3-\frac{29}4-\frac52= x  

    59×41229×3125×612=x\frac{59\times4}{12}-\frac{29\times3}{12}-\frac{5\times6}{12}= x  

    2361287123012=x\frac{236}{12}-\frac{87}{12}-\frac{30}{12}= x  

    23611712=x\frac{236-117}{12}= x  

    11912=x\frac{119}{12}= x  

    91112=x9\frac{11}{12}= x

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