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If you were born between 1900 and 1999, then:

your age on your birthday this year will be 2011 - (1900 + d), where d is given by the last two digits of the year you were born. Since 2011 - (1900 + d) = (2011 - 1900) - d, when you add your age this year to the last two digits of the year you were born the result is (2011 - 1900) - d + d = 2011 - 1900 = 111.

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