SOLUTION: The sum of 4 even numbers is divisible by 4. Is this statement, Always true?, Sometimes true?, or Never true? And why?
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Question 782764: The sum of 4 even numbers is divisible by 4. Is this statement, Always true?, Sometimes true?, or Never true? And why?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
represent an even number. Then 
where 
is another, possibly different, even number. Likewise 
and 
are also even numbers where 
. The sum of )
is divisible by 4 if and only if 
is even.
Ergo, Sometimes True.
Examples: 2 + 4 + 6 + 8 = 16, and 16 is divisible by 4.
2 + 4 + 6 + 10 = 18, and 18 is not divisible by 4.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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