Three mathematicians are talking.
"How many kids do you have?" The first asks the second mathematician.
"Three," she answers.
"How old are they?" he asks.
"Well if you multiply their ages, you get 72. But if you add them, you get
your office number." She says.
The first mathematician thinks for a few seconds and says, "I do not think
there is enough information for me to solve this!" he says.
The mother mathematician immediately says, "Oh, of course, I forgot to tell
you that the eldest plays the violin!"
[spoiler]Ages: 3, 3, 8 (twins). Office number: 14[/spoiler]