pdftk - Merge two PDF files containing even and odd pages of a book

I have two searchable PDF documents, say even.pdf and odd.pdf which contain even and odd pages of a book, respectively.

I can decompile each PDF to separate files 001.pdf 002.pdf 003.pdf, et cetera. The question is how to merge them?

They are both even and odd sequences numbered 1, 2, 3. If the numbering in the decompile process with pdftk were different, e.g. 1, 3, 5 for even and 2, 4, 6 for odd instead of 1, 2, 3, 4, I could simply merge them.

Can I do this any other way?