8th Class Mathematics Linear Equations in One Variable Question Bank Linear equations in One Variable

  • question_answer
    If \[{{\left( \frac{\text{2}}{\text{3}} \right)}^{\text{rd}}}\] of a number is 20 less than the original number, then the number is_____.

    A)  60                  

    B)         40

    C)  80                  

    D)                     120

    Correct Answer: A

    Solution :

    Let the number be x. According to question, we have \[\frac{2x}{3}=x-20\] \[\Rightarrow \frac{2x}{3}-\frac{x}{1}=-20\Rightarrow \frac{2x-3x}{3}=-20\] \[\Rightarrow \frac{-x}{3}=-20\Rightarrow x=20\times 3=60\]


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