SOLUTION: Why is this statement true. The sum of an even and odd number is always an odd number. (Hint: every off number is an even number plus 1)
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Question 716395: Why is this statement true. The sum of an even and odd number is always an odd number. (Hint: every off number is an even number plus 1)
Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
integer = n
even: n = 2k for some value of k
odd: n = 2k + 1 for some value of k
even + odd = 2k + (2k + 1) = 4k + 1
4k is divisible by 2, so (even) + (odd) produces an odd number
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