Question 252244
it depends on whether you include 0 as part of the natural number set.


natural number can be either positive integers or non-negative integers.


your equation is x + y = 12.


assuming non-negative integers, then the possible solutions are:


0 + 12
1 + 11
2 + 10
3 + 9
4 + 8
5 + 7
6 + 6


assuming positive integers only, then the possible solutions are the same except that you would remove the 0 as one of the possible solutions.


positive integers only = 6 possible ways to add x + y = 12


non-negative integers only = 7 possible ways to add x + y = 12