I’ve worked at a few places now where the following situations have happened:

1) first day of work at a new job, my new manager (a woman) asked me how old I was and whether or not I had children (I’m also a woman). I found those questions very intrusive and awkward but since I was new didn’t want to push back. I don’t really ask about the ages or family situations of people I don’t know well - it’s information that will usually come up on its own only if our relationship deepens and gets closer, and at work often it does not. I don’t really want people at work that I’m not particularly close to beyond a cordial professional relationship to know personal details about me.

2) at another job I’ve already been there for several months. My manager asked me how old I was. I found the question kind of intrusive and told her the age decade I was without specifying my exact age. She then said “what, you don’t want to tell me your age??????”

I don’t know if I’m overreacting, but is this acceptable in a professional setting? I personally feel like those are unprofessional questions to ask in the workplace as they’re about private life & not at all relevant to the job but I wanted to hear other people’s opinions