document.write( "Question 271152: If the larger of two numbers is divided by 6 and is subtracted from three times the smaller number, the result is 44. If the smaller number is increased by 4, the result is half the largest number. Find the numbers. This is so comples I do not know how to set it up. I know 3X-n/6=44 and the part +4 = 1/2n \n" ); document.write( "

Algebra.Com's Answer #198554 by Edwin McCravy(20056) $\"\"$ $\"About$

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If the larger of two numbers is divided by 6 and is subtracted from three times the smaller number, the result is 44. If the smaller number is increased by 4, the result is half the largest number.\r
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document.write( "The other tutor just gave you the equations and solved them.  I think\r\n" );
document.write( "your problem is not as much solving the equtions so much as getting\r\n" );
document.write( "them from the words.  I will show you how to get the equations from\r\n" );
document.write( "the words.\r\n" );
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document.write( "In the following, observe what I have substituted the red parts\r\n" );
document.write( "for from one sentence to the next, and you'll see how the equations\r\n" );
document.write( "come from the words:\r\n" );
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document.write( "If the larger of two numbers is divided by 6 and is subtracted from three\r\n" );
document.write( "times the smaller number, the result is 44. If the smaller number is increased\r\n" );
document.write( "by 4, the result is half the largest number.\r\n" );
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document.write( "If L is divided by 6 and is subtracted from three times the smaller number,\r\n" );
document.write( "the result is 44. If the smaller number is increased by 4, the result is half\r\n" );
document.write( "the largest number.\r\n" );
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document.write( "If L is divided by 6 and is subtracted from three times the smaller number,\r\n" );
document.write( "the result is 44. If the smaller number is increased by 4, the result is half\r\n" );
document.write( "the largest number.\r\n" );
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document.write( "L/6 is subtracted from three times the smaller number, the result is 44. If\r\n" );
document.write( "the smaller number is increased by 4, the result is half the largest number.\r\n" );
document.write( "\r\n" );
document.write( "L/6 is subtracted from three times the smaller number, the result is 44. If\r\n" );
document.write( "the smaller number is increased by 4, the result is half the largest number.\r\n" );
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document.write( "L/6 is subtracted from three times S, the result is 44. If the smaller number\r\n" );
document.write( "is increased by 4, the result is half the largest number.\r\n" );
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document.write( "L/6 is subtracted from three times S, the result is 44. If the smaller number\r\n" );
document.write( "is increased by 4, the result is half the largest number.\r\n" );
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document.write( "L/6 is subtracted from 3S, the result is 44. If the smaller number is\r\n" );
document.write( "increased by 4, the result is half the largest number.\r\n" );
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document.write( "L/6 is subtracted from 3S, the result is 44. If the smaller number is\r\n" );
document.write( "increased by 4, the result is half the largest number.\r\n" );
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document.write( "3S MINUS L/6, the result is 44. If the smaller number is increased by 4, the\r\n" );
document.write( "result is half the largest number.\r\n" );
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document.write( "3S - L/6, the result is 44. If the smaller number is increased by 4, the\r\n" );
document.write( "result is half the largest number.\r\n" );
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document.write( "3S - L/6, the result is 44. If the smaller number is increased by 4, the\r\n" );
document.write( "result is half the largest number.\r\n" );
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document.write( "3S - L/6 = 44. If the smaller number is increased by 4, the result is half the\r\n" );
document.write( "largest number.\r\n" );
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document.write( "3S - L/6 = 44. If the smaller number is increased by 4, the result is half the\r\n" );
document.write( "largest number.\r\n" );
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document.write( "3S - L/6 = 44. If S is increased by 4, the result is half the largest number.\r\n" );
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document.write( "3S - L/6 = 44. If S is increased by 4, the result is half the largest number.\r\n" );
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document.write( "3S - L/6 = 44. S PLUS 4, the result is half the largest number.\r\n" );
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document.write( "3S - L/6 = 44. S + 4, the result is half the largest number.\r\n" );
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document.write( "3S - L/6 = 44. S + 4, the result is half the largest number.\r\n" );
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document.write( "3S - L/6 = 44. S + 4, the result is half L.\r\n" );
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document.write( "3S - L/6 = 44. S + 4, the result is half L.\r\n" );
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document.write( "3S - L/6 = 44. S + 4, the result is (1/2) L.\r\n" );
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document.write( "3S - L/6 = 44. S + 4, the result is (1/2) L.\r\n" );
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document.write( "3S - L/6 = 44. S + 4, the result is (1/2) L.\r\n" );
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document.write( "3S - L/6 = 44. S + 4 = (1/2) L.\r\n" );
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document.write( "So we have the system of equations:\r\n" );
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document.write( "Multiply the first equation through by 6 to clear of fractions:\r\n" );
document.write( "Multiply the second equation through by 2 to clear of fractions:\r\n" );
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document.write( "Multiply the first equation through by 6 to clear of fractions:\r\n" );
document.write( "Multiply the second equation through by 2 to clear of fractions:\r\n" );
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document.write( "Substitute  for L in the first equation:\r\n" );
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document.write( "Substitute 17 for S in\r\n" );
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document.write( "So the smaller number is 17 and the larger number is 42.\r\n" );
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document.write( "Edwin

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