document.write( "Question 26807: Show that the sum of an odd integer and an even integer is always odd. \n" ); document.write( "

Algebra.Com's Answer #14613 by venugopalramana(3286) $\"\"$ $\"About$

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ANY INTEGER IS DENOTED BY N
\n" ); document.write( "IT WILL BE EVEN IF WE MULTIPLY BY 2...THAT IS 2N IS EVEN INTEGER.
\n" ); document.write( "IT WILL BE ODD IF WE ADD 1 TO IT..THAT IS
\n" ); document.write( "2N+1 IS ODD INTEGER.
\n" ); document.write( "SUM OF ODD AND EVEN INTEGERS IS
\n" ); document.write( "(2N+1)+(2M)=2N+2M+1=2(N+M)+1=2P+1 WHERE P IS AN INTEGER.
\n" ); document.write( "HENCE BY THE ABOVE LOGIC THE SUM IS AN ODD INTEGER.
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