Question

The sum of two numbers is 8 and the sum of the irreciprocalis 8/15.Find the numbers​

Answer 1

Answer:

Refer to the attachment.....☺️

Answer 2

Answer:

3, 5

Step-by-step explanation:

let the numbers be x and y.

A/Q,

x+y = 8

1/x + 1/y = 8/15

Now,

x+y=8

==> x = 8-y        ------> eqn 1

also, we know

1/x + 1/y = 8/15

substituting the value of x from eqn 1,

1/8-y + 1/y = 8/15

==> y+8-y / $8y - y^{2}$= 8/15

==> 8 / y(8-y) = 8/15

==> y (8-y) = 15

==> 3 * 5 = 15