Question 26805
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 ODD INTEGERS IS 
(2N+1)+(2M+1)=2N+2M+2=2(M+N+1)=2P WHERE P IS AN INTEGER.
HENCE BY THE ABOVE LOGIC THE SUM IS AN EVEN INTEGER.