What does this mean? 어떻게 관심을 갖게 된거에요??
I think it means "How did you become interested in Korean," but I'm not sure. I also don't know how to answer that question though.Can you please give an example answer too? Thank you!

Question

What does this mean?  어떻게 관심을 갖게 된거에요??
I think it means "How did you become interested in Korean," but I'm not sure. I also don't know how to answer that question though.Can you please give an example answer too? Thank you!

Answer

"어떻게 (한국어에) 관심을 갖게 된거에요?" => "어떻게 한국어에 관심을 갖게 된 거예요?" (에->예, a space before 거)
=> How did you become interested in Korean?

You could answer it like:
- 한국 드라마를 자주 보다가 자연스럽게 한국어에 흥미가 생겼어요.
=> While watching many Korean dramas, I got interested in Korean naturally.

- 본래 언어에 관심이 많았던 데다가 한국인 친구들과 사귀다 보니 한국어를 본격적으로 좋아하게 됐어요.
=> Always interested in languages anyway, I seriously fell for Korean when I associated with Korean friends.

- 뭐 특별한 이유는 없어요.  그냥 외국어 배우기를 좋아해요.
=> Well, there is no particular reason. I just like to learn foreign languages.