The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 27 less than the original. Find the original number.

I did another one just like this about an hour ago.  I did it the elegant, tedious way,and it took about 2 feet of screen.  Then I realized there was a totally bourgeois but easy way to do it.  For 5 points, I'll give you the method for the masses:List all the possible pairs of digits that add up to 9, along with their flips:18 . . . . . 81 27 . . . . . 7236 . . . . . 6345 . . . . . 54Do you see any pair that are different by 27 ?How about 36 and 63 ?So the original number is 63, and when you flip it, it becomes 36, which is 27 less.