SOLUTION: Proof that the sum of two even numbers is even

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Question 358446: Proof that the sum of two even numbers is even
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi,

x and y are even numbers   Given

Let x = 2a    by Definition of an even number

Let y = 2b    by Definition of an even number



x + y = 2a + 2b

x + y = 2(a + b) Distributive Law

x+y = 2p      where p is a number equal to (a+b)

x+y is even   by Definition of an even number