만나서 반갑습니다
Nice to meet you. (very polite)
성함이 어떻게 되세요?
What is your name? (formal)
성함이 어떻게 되십니까?
What is your name? (formal)
이름이 뭐예요?
What is your name? (when talking to equals or people below you)
나이가 어떻게 되세요?
How old are you?
. 몇 살이에요?
How old are you?
This is polite, but is much closer to casual than formal. It can be asked to children.