document.write( "Question 659908: Find two consecutive even integers such that twice the smaller diminished by twenty is equal to the larger. \n" ); document.write( "
Algebra.Com's Answer #411004 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( "Find two consecutive even integers such that twice the smaller diminished by twenty is \r\n" );
document.write( "equal to the larger.\r\n" );
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document.write( "A Solution:\r\n" );
document.write( "Let n be the smaller even integer.\r\n" );
document.write( "The other even integer is two more than the first one, so the second integer can written \r\n" );
document.write( "as n+2.\r\n" );
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document.write( "In algebra, we write \"twice the smaller diminished by twenty\" as 2n-20.\r\n" );
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document.write( "An equation representing the relationship in  this problem is\r\n" );
document.write( "n+2 = 2n-20\r\n" );
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document.write( "Solve for n to find the smaller integer. Subtract 2 from both sides.\r\n" );
document.write( "n = 2n-22\r\n" );
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document.write( "Subtract 2n from both sides.\r\n" );
document.write( "-n = -22\r\n" );
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document.write( "Divide both sides by -1.\r\n" );
document.write( "n = 22\r\n" );
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document.write( "In the context of this problem n=22 means that the smaller even integer is 22. \r\n" );
document.write( "The larger even integer is two more, or 24.\r\n" );
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document.write( "Check your work by  going back to the original words of the problem.\r\n" );
document.write( "Twice the smaller integer is 2*22= 44. \"Diminishing\" 44 by 20 gives 24. Check!\r\n" );
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document.write( "That's it. Please let me know if this is unclear, or if you still have questions,\r\n" );
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document.write( "Mrs.Figgy\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
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