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10th Class Mathematics Related to Competitive Exam Question Bank Algebra

  • question_answer
    The sum of two numbers is 20; their product is 40. The sum of their reciprocals is

    A)  \[\frac{1}{10}\]                                               

    B)  4

    C)  2                            

    D)         \[\frac{1}{2}\]  

    Correct Answer: D

    Solution :

     Let the numbers are\[x\]and\[y\].                 \[x+y=20\] and\[xy=40\] Sum of the reciprocal of the numbers \[x\] and \[y\]                 \[\frac{1}{x}+\frac{1}{y}=\frac{y+x}{xy}=\frac{20}{40}=\frac{1}{2}\]


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