document.write( "Question 732314: If the positive integer x leaves a remainder of 2 when divided by 8, what will the remainder be when x + 9 is divided by 8? \n" ); document.write( "

Algebra.Com's Answer #852911 by ikleyn(53334) $\"\"$ $\"About$

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\n" ); document.write( "If the positive integer x leaves a remainder of 2 when divided by 8,
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document.write( "We are given that\r\n" );
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document.write( "    x = 8n + 2   <<<---=== \"the positive integer x leaves a remainder of 2 when divided by 8\"\r\n" );
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document.write( "It implies\r\n" );
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document.write( "    x + 9 = (8n + 2) + 9\r\n" );
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document.write( "    x + 9 = 8n + 11,\r\n" );
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document.write( "    x + 9 = 8(n+1) + 3.\r\n" );
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document.write( "This means that the remainder of (x+9) when divided by 8 will be 3.    <<<---===  ANSWER\r\n" );
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