document.write( "Question 298966: What is the maximum value of the sum of the digits of the sum of the digits of a
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Algebra.Com's Answer #214981 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The maximum sum of digits of a three-digit number is obviously\r\n" );
document.write( "the sum of the digits of 999 which is 9+9+9 or 27, a two-digit\r\n" );
document.write( "number, the sum of whose digits is 9.  All two-digit numbers\r\n" );
document.write( "between 20 and 26 have sum of digits less than 9.  So we look\r\n" );
document.write( "at the two-digit numbers less than 20 and see if any have sum\r\n" );
document.write( "of digits greater than 9.  We quickly find that 19 has the \r\n" );
document.write( "maximum sum of digits (1+9=10) of all integers less than 27.\r\n" );
document.write( "So the three digit numbers with maximum sum of digits of sums \r\n" );
document.write( "of digits are those whose digits have sum 19.  There are many \r\n" );
document.write( "three-digit numbers with sum of digits 19, such as 199,\r\n" );
document.write( "595, 649, 991, 829, 577, etc. etc.  \r\n" );
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document.write( "So the answer is 10, choice B.\r\n" );
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document.write( "Edwin

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