document.write( "Question 119404: Two consecutive even numbers are such that their sum is greater than 98 decreased by twice the larger. Find the smallest possible values for the integers. \n" ); document.write( "

Algebra.Com's Answer #87526 by Edwin McCravy(20059) $\"\"$ $\"About$

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Two consecutive even numbers are such that their sum is greater than 98 decreased by twice the larger. Find the smallest possible values for the integers.
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document.write( "x = smaller\r\n" );
document.write( "x+2 = larger\r\n" );
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document.write( "their sum, x+(x+2), is greater than, >, 98 decreased by, -, twice the\r\n" );
document.write( "larger, 2(x+2).\r\n" );
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document.write( "So:\r\n" );
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document.write( "x+(x+2) > 98-2(x+2)\r\n" );
document.write( "  x+x+2 > 98-2x-4\r\n" );
document.write( "   2x+2 > 94-2x\r\n" );
document.write( "  2x+2x > 94-2\r\n" );
document.write( "     4x > 92\r\n" );
document.write( "      x > 23\r\n" );
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document.write( "Since x is the smaller, it must be greater than 23,\r\n" );
document.write( "and the larger, x+2, must be 25 or larger.\r\n" );
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document.write( "The smallest two such consecutive even integers are 24 and 26.\r\n" );
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document.write( "Edwin

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