Let Paula's present age be P. Her age is three times the age of her sister. Her sister's age is P/3.

After 2 years Paula will be P+2 years old and her sister will be P/3 + 2. Then Paula will be twice as old as her sister.

This gives P+2 = 2(P/3 + 2)

=> P + 2 = 2P/3 + 4

=> P - 2 = 2P/3

=> 3P - 6 = 2P

=> P = 6

**Paula's age is 6 and her sister's age is 2.**

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