document.write( "Question 1200952: Two consecutive numbers are represented by x and x + 1 if 6 is added to the first number and 2 is subtracted from the second number, the quotient of the new number is 9/2. determine the numbers algebraically.\r
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Algebra.Com's Answer #835169 by ikleyn(52814) $\"\"$ $\"About$

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\n" ); document.write( "Two consecutive numbers are represented by x and x + 1 if 6 is added to the first number
\n" ); document.write( "and 2 is subtracted from the second number, the quotient of the new number is 9/2.
\n" ); document.write( "determine the numbers algebraically.
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document.write( "First number becomes (x+6).\r\n" );
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document.write( "Second number becomes ((x+1)-2) = (x-1).\r\n" );
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document.write( "The ratio of the two new numbers is  .\r\n" );
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document.write( "This ratio equals :  \r\n" );
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document.write( "     = .\r\n" );
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document.write( "To solve this equation, cross multiply\r\n" );
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document.write( "    2(x+6) = 9*(x-1).\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    2x + 12 = 9x - 9\r\n" );
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document.write( "    12 + 9 = 9x - 2x\r\n" );
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document.write( "      21   =   7x\r\n" );
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document.write( "       x   =   21/7 = 3,\r\n" );
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document.write( "ANSWER.  The two original numbers are 3 and 4.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved algebraically.\r
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