October 13, 2015

Homework Help: Algebra

Posted by Stranger on Monday, March 18, 2013 at 5:17am.

Let S(N) denote the digit sum of the integer N. Let M denote the maximum value of N/S(N), where N is a 3-digit number. How many 3-digit numbers N satisfy N/S(N)=M?

The digit sum of an integer is the sum of all its digits. For example, the digit sum of N=1123 is 1+1+2+3=7.

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