Ask a New Question

Question

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.
12 years ago

Answers

Anonimus
9. The maximum value of N/S(N) is 100, and for N = 100, 200, 300, 400, ..., 900, we get the desired value of N/S(N).
12 years ago

Related Questions

Let π denote the proportion of grocery store customers that use the store's club card. For a large s... For i; j 2 N let (i; j) denote the ordered pair in the cartesian product N  N and fi; jg  N the s... Let S(N) denote the digit sum of the integer N. As N ranges over all 3-digit positive numbers, what... Let [ x ] denote the greatest integer less than or equal to x. For example, [ 3.4 ] = 3 and [ -1 ]... Let s(N) denote the sum of the digits of N. Find the sum of all two-digit numbers N for which s(N^2)... What is the unit used to denote energy? a Newton b Joule c Coulomb d Watt Given $m\geq 2$ denote by $b^{-1}$ the inverse of $b\pmod{m}$. That is, $b^{-1}$ is the residue for... Let P(n) and S(n) denote the product ad the sum, respectively, of the digits of the integer n. For e... Denote Why is it so easy to denote the tense mood of Pope Leo X with Cardinals?
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use