SOLUTION: Why do consecutive numbers always have the sum of an odd number?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Why do consecutive numbers always have the sum of an odd number?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 400452: Why do consecutive numbers always have the sum of an odd number?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Because one of the numbers must be 0 mod 2, and the other must be 1 mod 2. Their sum is congruent to 1 mod 2, so the sum is always odd.