"A Puzzle A Day" - add nine, reverse digits

This puzzle is one of those which is almost as simple to solve as it is to state:

Find a two-digit number that reverses its digits when you add nine to it.

Knowing that the nine-times table contains numbers which have two series of ascending tens and descending units, this should be a case of just identifying a pair:

9, 18, 27, 36, 45, 54, 63, etc.

However, there are many more pairs of numbers that fit the requirement in the question:

23 and 32
34 and 43
45 and 54 we've already mentioned
56 and 65
and so on

Any two digit number of the form (10x + (x+1)) or 11x+1 will reverse its digits when adding nine (up to 89 + 9 = 98).

The situation changes above 100, and its not possible to reverse digits by adding just nine (and we have three-digit numbers).

If you like this article, can I recommend this one:  Calculator Games: Front to Back?  It's on a similar theme.

Other articles in the 'A Puzzle A Day' series:

Three Horse Race
How Old is Aunt Tabitha
Big Ben Strikes Twelve

Round Goes The Gossip
Sugar Cubes (Orders of Magnitude)
Add Nine, Reverse Digits
Flowers and Venn Diagrams
Sum of Three Numbers Equals Their Product

Other Calculator Fun and Games articles:

Snakes and Ladders (Collatz Conjecture)
Crafty Calculator Calculations (numerical anagrams with five digits)
More Multiplications (numerical anagrams, four digits)
Over and Out (reduce large numbers to zero as rapidly as possible)
Calculator Games: Front to Back
Calculator Games: Up, up and away with Ulam sequences
Calculator Games: The Kaprekar Constant