document.write( "Question 380584: 1. Show that the sum of any two odd numbers is always an even number.
\n" ); document.write( "2. Show that the product of any two even numbers is divisible by four.
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Algebra.Com's Answer #270165 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi,
\n" ); document.write( "1) An even number is any integer divisible by 2.
\n" ); document.write( "Let 2n +1 and 2k + 1 represent two odd numbers
\n" ); document.write( " (2n + 1) + (2k + 1) = 2(n+k+1)
\n" ); document.write( "Letting N = (n+k+1)
\n" ); document.write( " 2n + 1 + 2k + 1 = 2N sum is an even number as the integer is divisible by 2
\n" ); document.write( "Resulting Number is a number divisible by 2, therefore even
\n" ); document.write( "2) Let 2n and 2k represent two even numbers
\n" ); document.write( " 2n*2k = 4(nk) Resulting Number is divisible by 4 \n" ); document.write( "
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