document.write( "Question 889795: The no. of ordered pairs (x, y) of positive integers such that x+y=90 and their greatest common divisor is 6 equals
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document.write( "A) 15. B) 14. C) 8. D) 10 \n" );
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Algebra.Com's Answer #538479 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! Let's look at products of 6. \n" ); document.write( "6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90 \n" ); document.write( "Which pairs equal 90? \n" ); document.write( "6 + 84 \n" ); document.write( "12 + 78 \n" ); document.write( "18 + 72 \n" ); document.write( "66 + 24 \n" ); document.write( "60 + 30 \n" ); document.write( "54 + 36 \n" ); document.write( "48 + 42 \n" ); document.write( "Zero is a NEUTRAL integer. I'm only seeing 7 pairs. Ah, but this is a trick question -- there are actually 14. Do you know why? \n" ); document.write( ". \n" ); document.write( "Reverse the numbers for the ordered pair. Not just {6,84} but also {84,6}, etc. \n" ); document.write( " |