It means she wants to know how old you are. Sometimes it's because she's interested in you and wants to learn more about you, but don't base that conclusion on that one question. There have to be more signs than that to be sure.
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When a girl asks how old you are, she is likely curious about your age for various reasons such as trying to understand your background, determining compatibility, or simply making conversation. It's a common question when getting to know someone.
Yes they should...this will help you determine their experience in life and also the level of maturity.