math
posted by raja harishchandra on .
Let S(N) denote the digit sum of the integer N. As N ranges over all 3digit positive numbers, what value of N would give the minimum of M=N/S(N)?

This seems to be a programming challenge.
While this can probably be worked out in mathematical terms, it is easily shown by exhaustive search that the 3digit number is 199, where the minimum quotient is
199/19
=10.47 approximately. 
If from now you are going to post any brilliant question half of your points will be deducted.
Your account has been tracked by us,