The sum of two numbers is 40 and their product is 375. What will be the sum of their reciprocals?

 

  • Option 1)

     

               \frac{1}{40}

     

  • Option 2)

     

    \frac{8}{75}

     

  • Option 3)

     

    \frac{75}{4}

     

  • Option 4)

     

    \frac{75}{3}

     

  • Option 5)

     

    \frac{75}{8}

     

Answers (1)

The sum of two numbers is 40 and their product is 375. The sum of their reciprocals is:

x+y=4.........1

x\times y=375..........2

divide \: 1 \: by \: 2

\left ( \frac{1}{x} \right )+\left ( \frac{1}{y} \right )=\frac{8}{75}

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