# Can you add 3 odd numbers and get an even number?

##### 2 Answers

Sep 17, 2015

#### Answer:

The sum of any three odd numbers equals an odd number.

#### Explanation:

Proof

Lets consider three odd numbers

where

then the sum equals to

The last tell us that their sum is an odd.

Sep 17, 2015

#### Answer:

Yes, it is possible, but not in ordinary integer arithmetic.

In modular arithmetic with an odd modulus, every number is both odd and even.

#### Explanation:

For example, in arithmetic modulo