SOLUTION: Show that the sum of an odd integer and an even integer is always odd.

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Question 26807: Show that the sum of an odd integer and an even integer is always odd.
Answer by venugopalramana(3286) About Me  (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 ODD AND EVEN INTEGERS IS
(2N+1)+(2M)=2N+2M+1=2(N+M)+1=2P+1 WHERE P IS AN INTEGER.
HENCE BY THE ABOVE LOGIC THE SUM IS AN ODD INTEGER.