interface parentInterface
{
public String methodA(/*define parameters name and dataType*/);
}
and
public class childA : parentIn
You have two different methods
public String methodA(String a, int b, String c, long d){}
and
public String methodA(int e, String f, String g){}
that represent two different contracts to childA and childB respectively. You cannot define an interface with a single methodA that fits both definitions. What you seek to do is not possible.
Note that you could define both overloads in your interface, but then each class implementing that interface would have to implement both overloads.