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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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