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

 

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)
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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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