Step-by-step explanation:
x, y are the 2 numbers.
x/y = 9/11
x - y = 6
x = y + 6
now we use that in the first equation
(y + 6)/y = 9/11
y + 6 = 9y/11
11y + 66 = 9y
2y = -66
y = -33
x = y + 6 = -27
but the second equation could also be
y - x = 6
then
x = y - 6
and that in the first equation leads to
(y - 6)/y = 9/11
y - 6 = 9y/11
11y - 66 = 9y
2y = 66
y = 33
x = y - 6 = 27