SOLUTION: Show that the sum of two even integers is always even.
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Question 26806: Show that the sum of two even integers is always even.
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
ANY INTEGER IS DENOTED BY N
IT WILL BE EVEN IF WE MULTIPLY BY 2...THAT IS 2N IS EVEN INTEGER.
IT WILL BE ODD IF WE ADD 1 TO IT..THAT IS
2N+1 IS ODD INTEGER.
SUM OF 2 EVEN INTEGERS IS
(2N)+(2M)=+2N+2M=2(M+N)=2P WHERE P IS AN INTEGER.
HENCE BY THE ABOVE LOGIC THE SUM IS AN EVEN INTEGER.
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