Take the 2 digit number ie: 64
Subtract the sum of its numerals added together 6+4=10
54 is a multiple of 9
The answer to these is always a multiple of nine. One of those math flukes. So it does no matter which 2 digit number you choose.
If you look at the final page with the symbols, all the multiples of nine will have the same symbol.
There are several final pages so that it looks like the symbols change but the multiples of 9 will always have the same symbol.
9 and its multiples have lots of magic atatched to them. One of the handiest is: if you are balancing something ie: checkbook and you are off by a number that is a multiple of 9, you have reversed a number somewhere in you calculations.
I understand now. It wasn't a matter of math at all, except for the multiple of 9 issue. It was that the SYMBOL was the SAME for all answers which were a multiple of 9. In addition, those symbols changed for all of those answers each time you played so you didn't realize all multiple of 9 answers had the same symbol. Got it! Thanks.
From those days of the dreaded Algebra class -
Consider the number AB, which is really
10A + B
Add the digits of the number
A + B
Now subtract that sum from the original number
(10 A + B) - (A + B) = 10A + B - A - B = 10 A - A + B - B = 10 A - A = 9A
So, you will always get an answer which is 9 times your 1st digit, which will always lead you to the party hat symbol in the game.