Question

Puzzle Patel was out looking for a new apartment to rent. The landlord asks him if he has any pets. 
Patel: "Three cats" 
Landlord: "How old are they?"
Patel: "The product of their ages is 72."
Landlord: "What kind of answer is that!? I need more information."
Patel: "Sorry, that must have been unclear. The sum of the ages of my pets is the same as your house number."
Landlord: "Still not enough information, As we have only 20 houses in this society."
Patel: "My oldest cat is called Gypsy and sum of letters and her age is related as perfect square"
Landlord: "Okay, cool. Now that I know their ages, you can have the house."
What is the sum of the ages of Puzzle Patel's pets?​

Answer 1

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Answer 2

one cat is 26, one is 25, one is 21....

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