document.write( "Question 669197: One-third of the bigger of two consecutive odd numbers is 4 greater than one-fifth of smaller number. Find the numbers. \n" ); document.write( "

Algebra.Com's Answer #416206 by Edwin McCravy(20060) $\"\"$ $\"About$

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One-third of the bigger of two consecutive odd numbers is 4 greater than one-fifth of smaller number.
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document.write( "Smaller odd integer = n\r\n" );
document.write( "Bigger odd integer = n+2\r\n" );
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document.write( "Replace the words \"One-third of the bigger of two consecutive odd numbers\"\r\n" );
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document.write( "Replace the word \"is\" by \" = \".\r\n" );
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document.write( "Replace the words \"4 greater than one-fifth of smaller number\" by \r\n" );
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document.write( "So we have the equation\r\n" );
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document.write( "             = \r\n" );
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document.write( "Multiply through by LCD = 15\r\n" );
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document.write( "             5(n+2) = 3n + 60\r\n" );
document.write( "            5n + 10 = 3n + 60\r\n" );
document.write( "                 2n = 50\r\n" );
document.write( "                  n = 25\r\n" );
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document.write( "So the smaller odd integer is n=25, and the larger one is n+2 = 25+2 = 27\r\n" );
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document.write( "Checking:\r\n" );
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\n" ); document.write( ">>One-third of the bigger of two consecutive odd numbers<<
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document.write( "That's on-third of 27 which is 9\r\n" );
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document.write( "That's one-fifth of 25, which is 5.\r\n" );
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document.write( "And indeed 9 is 4 greater than 5.\r\n" );
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document.write( "So it checks.  Answer: 25 and 27\r\n" );
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document.write( "Edwin

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