Reusing common code between sub class [Java]

Public abstract class Profile <T extends ProfileOpt> {
..
}

Class A extends Profile<class C> {
..
}

Class B extends Profile<class D> {
..
}

Class D extends class C {
..
}

I have a method which has common code both in 

class A
update(String xyz, C c) {

}

Class B 
Update (String abc, D d) {

}

I understand writing update method in both Class A and B is a bad idea, I need to reuse the code.

One way I can think of is to create a separate Update class with only this method and then instantiate Update and A and B and make a method call from both classes with respective arguments.

Is there any better way for this or this is good from OOPS perspective?