Non EU citizen working in Denmark and living in Sweden

Hey,

I am a Non-EU citizen holding a work permit and working in Denmark. My wife (non-EU citizen) works and lives in Sweden. So I also have a resident permit(dependent Visa) in Sweden. Now, I would like to apply for a Swedish personal number to avail of medical facilities in Sweden.

My question here

• Is it fine to have a resident permit with a personal number in both Denmark and Sweden same time?
• About double taxation, regular tax deduction in Denmark but what about the percentage of tax deduction in Sweden for my income earned in Denmark?

Looking forward for the response, thanks in advance