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7th Class Mathematics Simple Equations Question Bank Simple Equation

  • question_answer
    If \[\frac{2x}{1+\frac{1}{1+\frac{x}{1-x}}}\] then find the value of x.   

    A)  1                                

    B)         4/3     

    C)         1/3                 

    D)         2/3                 

    Correct Answer: D

    Solution :

    We have, \[\frac{2x}{1+\frac{1}{1+\frac{x}{1-x}}}=1\] \[\Rightarrow \] \[\frac{2x}{1+\frac{1}{\frac{1-x+x}{1-x}}}=1\] \[\Rightarrow \] \[\frac{2x}{1+1-x}=1\] \[\Rightarrow \] \[\frac{2x}{2-x}=1\] \[\Rightarrow \]  \[2x=2-x\,\Rightarrow \,3x=2\Rightarrow x=\frac{2}{3}\]


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