Answer:
Step-by-step explanation:
If the 2 numbers are x and y then
x - y = 10
xy = 11
From the second equation :
y = 11/x
So, substituting in first equation:
x - 11/x = 10
Multiply through by x:
x^2 - 11 = 10x
x^2 - 10x - 11 = 0
(x - 11)(x + 1) = 0
x = -1, 11.
Giving y = -11, 1
So the 2 numbers are either -1 and -11
or 1 and 11.
