Question

If the sum of 2. Number is 27. And. The sum. Of reciprocals is 30/20. Find. The number

Answer 1

Answer:

Numbers are

(27+√657 )/2

(27 - √657)/2

Step-by-step explanation:

x + y =27

1/x + 1/y = 30/20

y + x = 3xy/2

27 = 3xy/2

xy = 18

x(27-x) = 18

x^2 - 27x + 18 = 0

x^2 - 27x + (27/2)^2 - (27/2)^2 + 18 = 0

(x - 27/2)^2 = (27/2)^2 - 18

(x-27/2) =  657 / 4

x = 27/2 +/- ((√657 )/ 2

x = (27 +/- √657)/2

y = (27 +/- √657)/2