document.write( "Question 49789: The sum of two integers is 30.Eight times the smaller integer is six more than five times the larger integer.Find the integers \n" ); document.write( "

Algebra.Com's Answer #33030 by AnlytcPhil(1807) $\"\"$ $\"About$

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The sum of two integers is 30. Eight times the smaller\r\n" );
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document.write( "Find the integers\r\n" );
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document.write( "Let S = the smaller\r\n" );
document.write( "Let L = the larger\r\n" );
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document.write( ">>...The sum of two integers is 30...<<\r\n" );
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document.write( "Translation:\r\n" );
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document.write( "S + L = 30\r\n" );
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document.write( ">>...Eight times the smaller integer is six more than\r\n" );
document.write( "five times the larger integer...<<\r\n" );
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document.write( "Translation:\r\n" );
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document.write( "8S = 5L + 6\r\n" );
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document.write( "So you have the system of equations:\r\n" );
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document.write( "S + L = 30\r\n" );
document.write( "8S = 5L + 6\r\n" );
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document.write( "Can you solve that system?  If not post again.\r\n" );
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document.write( "Answer: S = 12,  L = 18\r\n" );
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document.write( "Check: 8 times 12 is 96 and 5 times 18 is 90.\r\n" );
document.write( "Ans sure enough, 96 is 6 more than 90.\r\n" );
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document.write( "Edwin

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