document.write( "Question 683680: Good day Sir/Madam, please help me with this word problem. Your help means a lot.\r
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Algebra.Com's Answer #423658 by Edwin Parker(36)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "There is a typo, for there are no such consecutive integers.  I am guessing\r\n" );
document.write( "that the 25/56 should have been 15/56.  I will assume that.\r\n" );
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document.write( "Smaller integer = x\r\n" );
document.write( "Larger integer = x+1\r\n" );
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document.write( "                   \"1%2Fx\"\"%22%22%2B%22%22\"\"1%2F%28x%2B1%29\"\"%22%22=%22%22\"\"15%2F56\"\r\n" );
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document.write( "Multiply through by LCD of 56x(x+1), written as \"expr%2856x%28x%2B1%29%2F1%29%2A%22%22\"\r\n" );
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document.write( "       \"expr%2856x%28x%2B1%29%2F1%29%2A%22%22\"\"1%2Fx\"\"%22%22%2B%22%22\"\"expr%2856x%28x%2B1%29%2F1%29%2A%22%22\"\"1%2F%0D%0A%0D%0A%0D%0A+++++++%28x%2B1%29\"\"%22%22=%22%22\"\"expr%2856x%28x%2B1%29%2F1%29%2A%22%22\"\"15%2F56\"\r\n" );
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document.write( "     \"expr%2856cross%28x%29%28x%2B1%29%2F1%29%2A%22%22\"\"1%2Fcross%28x%29\"\"%22%22%2B%22%22\"\"expr%2856x%28cross%28x%2B1%29%29%2F1%29%2A%22%22\"\"1%2F%28cross%28x%2B1%29%29\"\"%22%22=%22%22\"\"expr%28cross%2856%29x%28x%2B1%29%2F1%29%2A%22%22\"\"15%2Fcross%2856%29\"\r\n" );
document.write( "   \r\n" );
document.write( "             56(x+1) + 56x = 15x(x+1)\r\n" );
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document.write( "            56x + 56 + 56x = 15x² + 15x\r\n" );
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document.write( "                 112x + 56 = 15x² + 15x\r\n" );
document.write( "                         0 = 15x² - 97x - 56\r\n" );
document.write( "                         0 = (x - 7)(15x + 8)\r\n" );
document.write( "             \r\n" );
document.write( "                       x - 7 = 0;   15x + 8 = 0\r\n" );
document.write( "                           x = 7        15x = -8\r\n" );
document.write( "                                          x = \"-8%2F15\"\r\n" );
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document.write( "Ignore the fraction answer.\r\n" );
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document.write( "Thus the integers are x = 7 and x+1 = 8\r\n" );
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document.write( "Edwin
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