When the digit is placed at the beginning and end of a positive integer N, the new number is 99*N.

Find the smallest value of N.

(In reply to re: We're going to need more precision (spoiler) by Ady TZIDON)

Corrected, thanks.  My initial error was actually in the first and 2nd line.

Posted by Steve Herman on 2015-07-11 12:17:43