Question 860872
let one number be x

other number is x+8

1/x - 1/(x+8) = 1/6

LCD = 6x(x+8) multiply the terms by the LCD

6(x+8)-6x=x(x+8)

6x+48-6x=x^2+8x

x^2+8x-48=0

x^2+8x-48=0


x^2+12x-4x+48=0

x(x+12)-4(x+12)=0

(x+12)(x-4)=0

x= 4

x+8=12

4, 12