Two mathematicians(old friends) meet after a long time in a bar. The first one tells the other that he got married and has three daughters. The second friend asked about their ages. To make the matter more interesting first one replies, “The product of their ages is 72.” The second mathematician answers, “OK, but that didn’t help a lot.” — “Then I should tell you that the sum of their ages is equal to the street number of this bar.” The second mathematician leaves the bar, returns, and says, “Great, but I still don’t know their age.” The first mathematician smiles and says, “My youngest daughter just started to play piano.” Now the second mathematician knows their ages.
How old are the three daughters? (The age should be thought of as integers only for this problem).