Answer:
17 years old.
Explanation:
If Tamara was 7 years younger, she would be as old as her sister. In that case, the sum of their ages would be 20, and since they'd both be the same age, 20 would just be Tamara's sister's age doubled. Half of 20 is 10, so Tamara's sister must be 10 years old, and at 7 years older, Tamara must be 17.