A woman is standing in front of the house of a neighbor couple who just moved in. The husband says "We have three daughters. Interestingly, the sum of their ages is the number on our house." To which the wife adds "And the product is 36."

The woman replies that she needs one more piece of information in order to determine the ages of the girls.

The wife responds "Our oldest daughter has red hair."

What are the ages of the three daughters?