So I have a two text files, a.txt and b.txt
a.txt has bunch of numbers
11
123
22
33
b.txt as well
44
99
4321
11
I'm trying to make a batch file to add the lines of a.txt to b.txt ONE LINE AT A TIME in certain time interval.
So I would like line 1 '11' to be added to the end of b.txt. Then after a bit a delay of couple seconds, add line 2 '123' of a.txt onto the last line of b.txt.
Making this into a new file is not a problem as long as the last file is updated.
I've seen the following from another post but I need it to update one line at a time. Please help

TYPE B.TXT>>A.TXT should append b.txt to a.txt (caps are for emphasis only)
Copy a.txt+b.txt requires a new output file, a file cannot be copied onto itself.
e.g. copy a.txt+b.txt c.txt (c.txt would contain the appended files.)
Thank you for the help!