Even though this question might seem a little strange, you do NOT need to do any excessive math to get to the correct answer. With just a bit of 'playing around' you can use 'brute force' to get to the answer.
We're told that a 2-digit number has its digits reversed and the difference between those two numbers is 27.
IF we use....
11 and 11, then the difference is 0 - this is NOT a match
12 and 21, then the difference = 9 - this is NOT a match
13 and 31, then the difference = 18 - this is NOT a match (notice the pattern though? The difference keeps increasing by 9!!!!! I wonder what the next one will be???)
14 and 41, then the difference = 27 = this IS a match
The question asks for the difference in the two DIGITS. The difference between 1 and 4 is 3.
There are actually several ways to get to this answer: 14 and 41, 25 and 52, 36 and 63, 47 and 74, 58 and 85, 69 and 96.
GMAT assassins aren't born, they're made,