Find all possible two digit positive integers N for which the sum of digits of 10^N - N is divisible by 170.

(In reply to re: Solution by Patrick)

Patrick:

You need to add up the digits of 10^N - N, and that number is what must be divisible by 170.

For example, 10^39 - 39 is 37 9's followed by 61, and the digits of that number add up to 37*9+6+1=333+7=340=2*170.

~Richard

Posted by Richard on 2006-07-18 23:06:36