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8th Class Mathematics Squares and Square Roots Question Bank Squares and Square Roots

  • question_answer
    A number is multiplied by \[2\frac{1}{3}\] times itself and then 61 is subtracted from the product obtained, If the final result is 9200, then the number is ______.

    A)  36                              

    B)  63                  

    C)  67                  

    D)         37                  

    Correct Answer: B

    Solution :

    Let the required number be x. According to question, \[x\left( 2\frac{1}{3}x \right)-61=9200\] \[\Rightarrow \frac{7}{3}{{x}^{2}}-61=9200\Rightarrow \frac{7}{3}{{x}^{2}}=9261\] \[\Rightarrow {{x}^{2}}=\frac{9261\times 3}{7}\Rightarrow x=\sqrt{3969}\Rightarrow x=63\]


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