It is a mathematical pattern. Without clicking on magic ball, try any combination, and notice that you always land on same symbol.
When you actually do click on crystal ball, the symbol order is refreshed, but the same rules apply, except that the symbol has simply been switched. The formula doesn't work for all numbers. For example
4: 4+ 0
4-4= 0 (when clicking, the symbol is wrong)
The numbers that always have same symbols:
98, 81, 72, 63, 54, 45, 36, 27, 18, 9,
As an example, here is why 81 will always be the answer:
81 = 98 - (9+8)
81= 97 - (9+7)
81= 96 - (9+6)
81= 95 - (9+5)
etc
81 = z - (x +y)
z=(x*10) + (y)
10x + y -(x +y) = 81
10x - x = 81
x(10 - 1) = 81
9x = 81
x = 81/9 = 9
This only helps so far as when:
x=10 : 10x - x=90 which doesn't work, so it was deleted from magic board.
x=9 : 10x - x=81
x=8 : 10x - x=72
x=7 : 10x - x=63
x=6 : 10x - x=54
x=5 : 10x - x=45
x=4 : 10x - x=36
x=3 : 10x - x=27
x=2 : 10x - x=18
x=1 : 10x - x=9
but if
x=0 : 10x - x=0
all one digit numbers alone don't work in this trick.
and so on.
Eureka