Question

The sum of two numbers is 8 and the sum of their reciprocals is 8/15. What are the numbers

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Hey mate your answer is here,

let two no.'s be x and y
so, x+y = 8
x = 8-y ............eq.1
and 1/x + 1/y = 8/15
$\frac{x + y}{xy} = \frac{8}{15}$
By cross multiplying ...
15x + 15y = 8xy
putting value of x from eq.1
15×(8-y) + 15y = 8 (8-y)×y
$120-15y+15y = 64y - 8 {y}^{2}$
$120 = 64y-8 {y}^{2}$
$15 = 8 - {y}^{2}$
${y}^{2} = - 7$
$y = \sqrt{7}$
Putting the value in eq.1
$x = 8 - \sqrt{7}$

HOPE THIS ALL MAY HELP YOU