Hello - in the following sentence "John and Michael, each in his own way, changed the outline of the design" - is it correct to write "each in his own way" or is it "each in their way"? And what happens if the sentence starts with "Each in his/their own way"?
Let us suppose it was Samantha and John. How could we say then?
Before the rise of feminism, while I was growing up, there was only one correct answer - "each in his own way." The word "his" was inclusive of both genders, and in my opinion should have stayed so, in spite of what a number of gentlewomen would now espouse.
For the students, I should clarify that, besides simplicity, "their" also has the merit of gender neutrality. (for people who care about that)