The sum of two numbers is 8 and their product is 15. What is the sum of their reciprocals?​

2 thoughts on “The sum of two numbers is 8 and their product is 15. What is the sum of their reciprocals?​”

1. Answer:

   the two numbers are 3,5

   reciprocal of 3 is 1/3

   reciprocal of 5 is 1/5

   sum of 1/3 &1)5is

   1/3 +1/5

   8/15

   thus answer is 8/15

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2. Answer:

   let numbers are x and y

   x+y =8

   xy=15

   x = 8-y

   (8-y)y = 15

   8y-y2 =15

   y2-8y+15 =0

   y2-5y-3y+15 = 0

   y(y-5)-3(y-5) = 0

   (y-3)(y-5) = 0

   y = 3, y= 5

   if y= 3 tgen x = 5

   if y= 5 then x = 3

   1/x+ 1/y = ?

   if x = 5, y=3

   then 1/5+1/3 = 8/15

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