The thing is, when you add the two digits of a two-digit number, and then subtract that sum from your original two-digit number, many times you'll come up with a number that is divisible by 3. Easy way to tell: if you can take the 2 digits of your final number and the sum of those two numbers is a number divisible by 3, then it's probably going to get it.
Example:
42. 4+2=6, divisible by 3.
63. 6+3=9, divisible by 3.
246. 2+4+6=12, divisible by 3.
You get the idea.