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Weekly Mind Bender

Payton and Jack each have kittens.  Jack says to Payton : “If you give me one of your kittens, I will have double of what you will have remaining”.
Payton replies :”If you give me one of your kittens, we will have exactly the same number of kittens”.

How many kittens do they have?

They have 5 and 7 kittens.