Question

the sum of 2 numbers is 8. Determine the numbers if the sum of their reciprocals is 8/15

Answer 1

Answer:

The 2 nos: are 5 and 3.

Step-by-step explanation:

answer attached above...

pls mark me as the brainlist....❤️

also pls follow me...

Answer 2

Answer:

Let numbers be = x and y

x + y = 8

x = 8 - y ...(1)

1/x + 1/y = 8/15

=> 1/(8 - y) + 1/y = 8/15

=> (y + 8 - y)/(8y - y^2) = 8/15

=> 8(15) = 8(8y - y^2)

=> 120 = 64y - 8y^2

=> 8y^2 - 64y + 120 = 0

=> y^2 - 8y + 15 = 0

=> y^2 - 5y - 3y + 15 = 0

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

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

=> y = 5, 3

x = 3, 5

Thus, numbers are 5 and 3

Thank you!

_______________