7. The sum of two numbers is 40 and the sum of their reciprocals is 2/5. Represent this in aquadratic equation.​

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1. Answer:

   Let be the numbers x and y.

   x+y = 40

   Sum of reciprocal = sum of the numbers/their product

   x+y/ xy = 2 /5

   40/ xy = 2/5

   As we know, 40 should be the product of 20 and 2.

   Therefore,

   xy = 20 × 5

   And,

   x = 20

   y = 5

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