document.write( "Question 246880: find all sets of three consecutive positive even integers whose sum is less than 40 \n" ); document.write( "

Algebra.Com's Answer #180194 by Edwin McCravy(20055) $\"\"$ $\"About$

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\n" ); document.write( "Tutor John thought you said \"consecutive positive integers,
\n" ); document.write( "not \"consecutive positive EVEN integers.\"
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\n" ); document.write( "find all sets of three consecutive positive
\n" ); document.write( "even integers whose sum is less than 40
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document.write( "Let n be the smallest. Then the next consecutive positive even \r\n" );
document.write( "integer is n+2 and the largest is n+4\r\n" );
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document.write( "n + (n+2) + (n+4) < 40\r\n" );
document.write( "n + n + 2 + n + 4 < 40\r\n" );
document.write( "           3n + 6 < 40\r\n" );
document.write( "               3n < 34\r\n" );
document.write( "                n < 11 1/3\r\n" );
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document.write( "The largest even integer less than 11 1/3 is 10, so the smallest\r\n" );
document.write( "can be any even integer between 2 and 10.  These are: \r\n" );
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document.write( "1.   2, 4, and 6 are 3 consecutive positive even integers whose sum is 12.\r\n" );
document.write( "2.   4, 6, and 8 are 3 consecutive positive even integers whose sum is 18.\r\n" );
document.write( "3.   6, 8, and 10 are 3 consecutive positive even integers whose sum is 24.\r\n" );
document.write( "4.   8, 10, and 12 are 3 consecutive positive even integers whose sum is 30.\r\n" );
document.write( "5.   10, 12, and 14 are 3 consecutive positive even integers whose sum is 36.\r\n" );
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document.write( "There are 5 of them.\r\n" );
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document.write( "Edwin

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