What are the ages of the three daughters ?

A Government official carrying out a census calls to a family home.

Living in the house is a mother and three daughters.

The official requires the ages of the three daughters.

Clues:
The product of the daughters ages is 72.
The sum of the daughters ages is the number on the door.

The official requires more information.
The only additional information the mother will supply is that her eldest daughter's cat died recently.

 


If you can solve this riddle, then write me an e-mail heinermerz@yahoo.com with the one and only correct solution (plus a short explanation why this is the only one solution) and I'll send you a gift.


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