document.write( "Question 585031: Which is the difference between sum of two 2-digit odd number and sum of two 2-digit even number.\r
\n" ); document.write( "\n" ); document.write( "a)45 b)54 c)35 d)53 \n" ); document.write( "
Algebra.Com's Answer #373045 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "What you need to know are all the facts\r\n" );
document.write( "about the results of operations with even \r\n" );
document.write( "and odd numbers.  They are:\r\n" );
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document.write( "even + even = even\r\n" );
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document.write( "even + odd = odd\r\n" );
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document.write( "odd + odd = even\r\n" );
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document.write( "even - even = even\r\n" );
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document.write( "even - odd = odd\r\n" );
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document.write( "odd - even = odd\r\n" );
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document.write( "odd - odd = even\r\n" );
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document.write( "even × even = even\r\n" );
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document.write( "even × odd = even\r\n" );
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document.write( "odd × odd = odd\r\n" );
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document.write( "You have here a case of this:\r\n" );
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document.write( "(odd + odd) - (even + even) =\r\n" );
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document.write( "We can replace \"(odd + odd)\" by \"even\"\r\n" );
document.write( "and have this: \r\n" );
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document.write( "       even - (even + even) =\r\n" );
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document.write( "And we can replace \"(even + even)\" by \"even\"\r\n" );
document.write( "and have this:\r\n" );
document.write( "                even - even =\r\n" );
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document.write( "Then we can replace \"even - even\" by \"even\",\r\n" );
document.write( "and we end up with this:\r\n" );
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document.write( "                       even\r\n" );
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document.write( "So the answer has to be an even number.\r\n" );
document.write( "Of the choices you have, which are \r\n" );
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document.write( "a)45 b)54 c)35 d)53\r\n" );
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document.write( "only \"b)54\" is an even number.  So that is\r\n" );
document.write( "the only possible choice.\r\n" );
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document.write( "There are lots of possibilities of that resulting in 54.\r\n" );
document.write( "For instance, here are some:\r\n" );
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document.write( "(11 + 65) - (10 + 12) = 54\r\n" );
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document.write( "(67 + 29) - (28 + 14) = 54\r\n" );
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document.write( "(47 + 79) - (20 + 52) = 54\r\n" );
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document.write( "(99 + 97) - (98 + 44) = 54\r\n" );
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document.write( "Edwin
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