Yes.
A number in base $n$ is just $a*n^2+b*n^1+c$.
Because $n mod n-1 = 1$, you can replace every $n$ with $1$.
So $a*n^2+b*n^1+c mod n-1$ becomes $a+b+c mod n-1$
A number in base $n$ is just $a*n^2+b*n^1+c$.
Because $n mod n-1 = 1$, you can replace every $n$ with $1$.
So $a*n^2+b*n^1+c mod n-1$ becomes $a+b+c mod n-1$
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