document.write( "Question 25666: This question seems too hard to set up. Could someone help me out?\r
\n" ); document.write( "\n" ); document.write( "-Find all sets of three consecutive positive even integers whose sum is less than 40. \n" ); document.write( "

Algebra.Com's Answer #13770 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
You can start with x as the first positive even integer, the next positive even integer would be x+2 and the next one would be x+4. Now you could set up the inequality:
\n" ); document.write( " $\"x+%2B+%28x%2B2%29+%2B+%28x%2B4%29+%3C+40\"$ Solve for x.
\n" ); document.write( " $\"3x+%2B+6+%3C+40\"$ Subtract 6 from both sides.
\n" ); document.write( " $\"3x+%3C+34\"$ Divide both sides by 3.
\n" ); document.write( " $\"x+%3C+11.33\"$ But you want even integers, so use x = 10\r
\n" ); document.write( "\n" ); document.write( "10+12+14 = 36 < 40
\n" ); document.write( "8+10+12 = 30 < 40
\n" ); document.write( "6+8+10 =24 < 40
\n" ); document.write( "4+6+8 = 18 < 40
\n" ); document.write( "2+4+6 = 12 < 40
\n" ); document.write( "0+2+4 = 6 < 40 \n" ); document.write( "

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