Another time perhaps/Some other time perhaps

Hi teachers,

Could you possibly tell me if "some other time" can be used interchangeably with"another time"?:

a/ Sorry, I can't do it today because I am very busy.I 'll do it some other time/another time?

b/ Jack : Would you like to go to the concert with me tonight ?
Mary: I'd love to,but I'm afraid I can't.Another time perhaps/Some other time perhaps

Thank you in advance