Problem Solving Question:

A census taker came to a house where a man lived with
three daughters.  "What are your daughters' ages?" he asked.
The man replied, "The product of their ages is 72, and the
sum of their ages is my house number."
"But that's not enough information," the census taker insisted.
"All right," answered the farmer, "the oldest loves chocolate.

What are the daughters' ages?

I like the seemingly humorous element of this problem.  How does the oldest daughter's taste in chocolate help the census taker figure out the age of the farmer's daughters?

The other problem with this question is that it has two possibilities:

8,3,3

6,6,2

They both add to 14. Now, we see the relevance of the 'oldest daughter loving chocolate' - one of the three is the oldest.

First part of the question would include adding up ages to match to the farmer's house number - but the students are not given this number where as the census taker would have that information.