document.write( "Question 624660: sum of three eve consecutive number is 36. find the number \n" ); document.write( "
Algebra.Com's Answer #392992 by math-vortex(648)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Hi, there--\r\n" );
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document.write( "The Problem: \r\n" );
document.write( "The sum of three consecutive even numbers is 36. Find the numbers.\r\n" );
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document.write( "Solution:\r\n" );
document.write( "A sum of consecutive even numbers is series like 2+4+6 or 8+10+12.\r\n" );
document.write( "Let x be the first even number in the series.\r\n" );
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document.write( "Then the second even number is two more, or x+2.\r\n" );
document.write( "The third even number is two more than the second, x+2+2 or x+4.\r\n" );
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document.write( "We know that the sum of the three numbers is 36. In algebra, we represent this relationship as\r\n" );
document.write( "x + x+2 + x+4 = 36\r\n" );
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document.write( "Now we solve this equation for x. First combine like terms. x+x+x is 3x and 2+4 is 6.\r\n" );
document.write( "3x+6=36\r\n" );
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document.write( "Subtract 6 from both sides of the equation.\r\n" );
document.write( "3x+6-6=36-6\r\n" );
document.write( "3x=30\r\n" );
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document.write( "Divide both sides of the equation by 3. 3x/3 is x and 30/3 is 10.\r\n" );
document.write( "x=10\r\n" );
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document.write( "In the context of this problem, x=10 means that the first even number in the series is 10. The next \r\n" );
document.write( "two even numbers are 10+2=12 and 10+4=14.\r\n" );
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document.write( "We need to check that 10,12, and 14 add up to 36.\r\n" );
document.write( "10+12+14=36 True!\r\n" );
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document.write( "That's it! Please email me if you have questions or comments about the solution. I'm happy to \r\n" );
document.write( "explain further and I'd appreciate the feedback.\r\n" );
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document.write( "Ms.Figgy\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
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