document.write( "Question 1166365: the mean of n numbers is 5 if the number 13 is now included with n numbers the mean becomes 6 find the value of n
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Algebra.Com's Answer #790860 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "the mean of n numbers is 5 if the number 13 is now included with n numbers the mean becomes 6 find the value of n
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document.write( "Let \"a%5B1%5D\",  \"a%5B2%5D\",  \"a%5B3%5D\", . . . ,  \"a%5Bn%5D\"  be the given \" n \" numbers.\r\n" );
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document.write( "We are given that\r\n" );
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document.write( "    \"%28a%5B1%5D%2Ba%5B2%5D%2Ba%5B3%5D%2Bellipsis%2Ba%5Bn%5D%29%2Fn\" = 5.     (1)\r\n" );
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document.write( "It means that the sum  \"S%5Bn%5D\" = \"a%5B1%5D%2Ba%5B2%5D%2Ba%5B3%5D%2Bellipsis%2Ba%5Bn%5D\"  is equal to  5n\r\n" );
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document.write( "When the (n+1)-th number  \"a%5Bn%2B1%5D\" = 13 is included with n numbers, the mean of the (n+1) numbers is\r\n" );
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document.write( "    \"%28S%5Bn%5D%2B13%29%2F%28n%2B1%29\" = 6.\r\n" );
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document.write( "It implies\r\n" );
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document.write( "    \"S%5Bn%5D%2B13\" = 6(n+1),   \r\n" );
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document.write( "Replace here  \"S%5Bn%5D\"  by 5n, based on (1).  You will get\r\n" );
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document.write( "    5n + 13 = 6(n+1),\r\n" );
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document.write( "    5n + 13 = 6n + 6\r\n" );
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document.write( "    13 - 6  = 6n - 5n\r\n" );
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document.write( "     7      = n.\r\n" );
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document.write( "ANSWER.  n = 7.\r\n" );
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\n" ); document.write( "\n" ); document.write( "To see many other similar solved problems, look into the lesson\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on average scores, weight, height and temperature\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on average scores\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on average age \r
\n" ); document.write( "\n" ); document.write( "    - Miscellaneous problems on average values \r
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\n" ); document.write( "\n" ); document.write( "Consider these lessons as your textbook,  handbook,  tutorials and  (free of charge)  home teacher.\r
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\n" ); document.write( "\n" ); document.write( "The setup in the post by @josgarithmetic is INCORRECT;\r
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\n" ); document.write( "\n" ); document.write( "so, for your safety, you better ignore it.\r
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