Problem of the Week

This week's problem was suggested by Bill Evans.  Happy Thanksgiving, Bill!

My three nieces are coming to visit for Thanksgiving.  My neighbor came over and wanted to know how old they are.  I told her that the product of their ages is 72.

"That's not enough information for me to figure out how old they are," she complained.

I offered that the sum of their ages is my street address.

"But that's still not enough information."

After a moment's thought, I added that my eldest niece loves pumpkin pie.

She then knew how old the girls are,...but was afraid to ask their names.

How old are my nieces?

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