document.write( "Question 477215: a set of nine distinct positive integers has mean of 9 and median of 9. what is the greatest possible value of one of these integers? \n" ); document.write( "
Algebra.Com's Answer #327143 by Edwin McCravy(20056)\"\" \"About 
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document.write( "Let the 9 numbers from smallest to largest be\r\n" );
document.write( "represented by the letters from \"a\" through \"i\", where\r\n" );
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document.write( "a < b < c < d < e < f < g < h < i\r\n" );
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document.write( "They have a mean of 9, so\r\n" );
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document.write( "a + b + c + d + e + f + g + h + i\r\n" );
document.write( "—————————————————————————————————  = 9\r\n" );
document.write( "              9   \r\n" );
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document.write( "or, multiplying both sides by 9\r\n" );
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document.write( "a + b + c + d + e + f + g + h + i = 81\r\n" );
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document.write( "The object is to make \"i\" as large as possible.\r\n" );
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document.write( "\"i\" will be largest when \"a\" through \"h\" are smallest\r\n" );
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document.write( "Since the median is 9, e=9, and we have:\r\n" );
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document.write( "a < b < c < d < 9 < f < g < h < i\r\n" );
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document.write( "To choose \"a\" through \"h\" as small as possible, we have\r\n" );
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document.write( "a=1, b=2, c=3, d=4, e=9, f=10, g=11, h=12\r\n" );
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document.write( "Then \r\n" );
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document.write( "a + b + c + d + e +  f +  g +  h + i = 81\r\n" );
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document.write( "becomes\r\n" );
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document.write( "1 + 2 + 3 + 4 + 9 + 10 + 11 + 12 + i = 81\r\n" );
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document.write( "Solving for i:\r\n" );
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document.write( "                              52 + i = 81\r\n" );
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document.write( "                                   i = 29\r\n" );
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document.write( "That's the answer, 29.\r\n" );
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document.write( "This is the case when the 9 numbers are\r\n" );
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document.write( "a=1, b=2, c=3, d=4, e=9, f=10, g=11, h=12, i=29\r\n" );
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document.write( "Edwin
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