What do you think about women asking men out? Instead of the other way around

There is a guy i met recently and he seems really cute. We had some quick chats at parties and i heard from his twin brother that he was interested in me. When seeing him at parties he also asked my about my dating life and what i would like to do as a date and we seem to have similar experiences and thoughts on it. But he never asked me out or anything :(( what does it mean for guys to ask such questions about dating? And would guys be bothered if a girl asks him out instead of the guy asking out the girl?