There has been a recent spate of related "22+4" questions that can all be answered by using different cyclic numbering systems. The OP's always say "use base 10," perhaps not realizing that that requirement doesn't make the answer much more difficult. If I say, "add 22 and 4 to give $x$," then $x$ can always be acquired by using a rule that the numbers you are using have a maximum, after which further additions take the numbers back to $0$, and then start counting up again. The maximum number is $x-27$, which then sends $x-26$ to equal $0$, $x-25=1, \dots, x=26$. This numbering system is called the integers modulo $n$, where $n$ is $1$ plus that maximum number.
As you can see from my answers to all these questions, here, here, here and here, I have simply changed the numbers I have used to answer these questions.
The purpose of this meta post is to a) educate users about the integers modulo $n$, as a distinct concept from "base something", and b) to raise the point that the repeated use of this question is unoriginal (and the questions should perhaps be marked as duplicates).
I'm aware that some people spend their time finding creative answers to these questions, but aren't there better ways to spend one's time? I apologise if you enjoy answering questions on this site for the sake of it.
