Can 5 odd numbers be added to get 30?
The sum of an odd number of odd numbers is odd.
Every odd number can be written as
For this question in particular, if we add:
# = 2((i+j+k+l+m+2) +1#
which is of the form
In normal integer arithmetic - no.
In modular arithmetic - yes with any odd modulo > 30.
which is odd.
In fact in modular arithmetic modulo an odd base all numbers are both odd and even.