Original puzzle is here: http://wordsmith.org/board/showflat.pl?Cat=&Board=wordplay&Number=131196

three little girls...if you multiplied their ages by each other the product would be thirty-six.
possible ages are
36 – 1 – 1; sum is 38
18 – 2 – 1; sum is 21
12 – 3 – 1; sum is 16
9 - 4 – 1; sum is 14
9 – 2 – 2; sum is 13
6 – 6 – 1; sum is 13
6 – 3 – 2; sum is 11
4 – 3 – 3; sum is 10

The sum of their three ages is the same number as my apartment number
If there’s still uncertainty, the sum must be 13, because that's the only sum with more than one possible set of three addends. So the ages are either 9-2-2 or 6-6-1.

The oldest little girl has blue eyes
There’s an oldest! That means the ages can’t be 6-6-1 because the two six-year-olds are the same age (measured in years, anyway) and nobody could accurately be called “oldest.”

HOW OLD ARE THE GAY CHICK'S LITTLE GIRLS?
That leaves only nine, two, and two. QED.

Nein, ja? Ja!