wondash

My son came home with this math riddle (he's 13 and was able to solve it):

Mrs. Counts, a census taker, went to Mr. Smith’s house. Mr. Smith tells Mrs. Counts that he has
three daughters. Mrs. Counts asked for his daughters’ ages. Mr. Smith tells her that the product
of their ages is 72, and the sum of their ages is my house number. Mrs. Counts did some
calculations, and then she went out and checked his house number. She came back frowning and said,
“I’m afraid I can’t figure out your daughters’ ages”. Mr. Smith said, “Oh! I almost forgot to tell
you, my oldest daughter likes chocolate pudding.” Mrs. Counts immediately figured out their ages,
wrote it down, and went on to the next house.

What are the three girls ages?

Answer: Spoiler: Three, Three, and Eight