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10th Class Mathematics Quadratic Equations Question Bank Quadratic Equation

  • question_answer
    The age of a man is the square of his son's age. One year ago, the man's age was eight times the age of his son. What is the present age of the man?

    A)  60 years                      

    B)  49 years   

    C)  30 years                      

    D)  40 years

    Correct Answer: B

    Solution :

    (b): Let ages be \[{{x}^{2}}\] and \[x:({{x}^{2}}-1)=8(x-1)\] \[\Rightarrow {{x}^{2}}-8x+7=0\Rightarrow (x-1)(x-7)=0\] \[\Rightarrow x=1,7\] \[x=7\] \[{{x}^{2}}=49\]   


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