Hosted by The Math Forum## Problem of the Week 1185## Nines
Let N be an integer whose decimal digits from left to right are
nondecreasing (e.g., 113445889) and having distinct digits as its two
rightmost digits. Let s be the sum of the digits of 9N. Then s is divisible
by 9, so How large can M be?
Source: Felix Lazebnik, Surprises, © Copyright 2014 Stan Wagon. Reproduced with permission. |

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16 July 2014