document.write( "Question 1098497: which two numbers out of these differ by 46\r
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document.write( "29,17,38,71,35,63,24
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Algebra.Com's Answer #712858 by KMST(5328)![]() ![]() You can put this solution on YOUR website! In the set of 7 numbers listed, two of them are even (24 and 38), \n" ); document.write( "and the other 5 numbers are odd. \n" ); document.write( "The difference between two numbers is even (such as 46) \n" ); document.write( "only if both numbers are even or both numbers are odd. \n" ); document.write( "So, let's list the odd numbers in order from smallest to greatest \n" ); document.write( "17 \n" ); document.write( "29 \n" ); document.write( "35 \n" ); document.write( "63 \n" ); document.write( "71 \n" ); document.write( "We do not need to look at all differences. \n" ); document.write( "We need to find two numbers fairly far appart, \n" ); document.write( "and not all look promising. \n" ); document.write( "You could look at approximate differences, \n" ); document.write( "or you could look at the last digit. \n" ); document.write( "71-35 and 63-17 are the only promising differences, \n" ); document.write( "because 71 and 63 are the only numbers large enough to be 46 more than another number in that list, \n" ); document.write( "and when you calculate the last digit you calculate \n" ); document.write( "11-5=6 and 13-7=6. \n" ); document.write( "71-35=36, but |