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### Even + Even = Even

```
Date: 11/06/2001 at 15:33:39
From: Courtney
Subject: Even + even = even

Do you know how to prove that an even number + an even number =
an even number?
```

```
Date: 11/06/2001 at 15:36:54
From: Doctor Paul
Subject: Re: Even + even = even

An even number is a multiple of two. Show that the sum of two
multiples of two is again a multiple of two:

if x and y are even numbers, then

x = 2*p and y = 2*q for some integers p and q.

Then x + y = 2p + 2q = 2(p+q)

2*(p+q) is a multiple of two as well, so x+y is even.

- Doctor Paul, The Math Forum
http://mathforum.org/dr.math/
```
Associated Topics:
High School Number Theory

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