Recent content by dmukhin

For #1 a solution (n) should be a multiple of 17, since \(18^n-1=(17+1)^n-1=17k+1^n-1=17k\)

Something is not right with #5 ... or I just don't understand it correctly ... The way I understand it there is a number (N=935k+69) - some possible values are 69, 1004, 1939, 2874, ... If it is divided by 38 the reminders will vary. For 69 it is 31, for 1004 it is 16, for 1939 it is 1. So what...

Answers: 1. the same 2. 1, 1, 1, 48 3. 200

... a couple of fun problems 1. I have a barrel with coffee and a cup with tea (not full). I take one spoon of coffee from the barrel and pour it into the cup with tea. Then I take a spoon of the mixture from the cup and pour it back into the barrel. Now, both the barrel and the cup have some...