It actually depends. If my birthday is in October and I am 20 on April 24, 2009, then I was born in 1988. If my birthday is in January and I am 20 on April 24, 2009, then I was born in 1989. So your answer depends on what month the person is born in.
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If someone is 20 years old, you can determine the year they were born by subtracting their age from the current year. For example, if the current year is 2022, someone who is 20 years old would have been born in the year 2002.
Given that the year you're looking at is 2010, if you were 20, you would be born in 1990.
1990
If you are now (2010) 20 years old then you were born in 1990.
If they have already turned 19 this year (2010) they were born in 1991, if they will be 20 sometime this year they were born in 1990.
Age Now = Year Now - Year of Birth (if the person has had their birthday this year, and one less if they have not). So, if you were born on 20 January 1968, on 20 January 2011 you would be 43 years old.