N is a duodecimal (base 12) positive integer having precisely 50 digits such that each of its digits is equal to 1 except the 26th digit. If N is divisible by the duodecimal number 17, then find the digit in the 26th place.
(In reply to
analytical solution by Daniel)
"well if x is the missing digit then the base 10 representation of N is
N = x*12^25 + sum(12^t, t=0 to 24) + sum(12^t, t=26 to 49)"
Why 12^25?
Sorry, I see: you're counting the 26th digit starting on the right as the first. My solution assumes counting from the left, so it's the 25th from the right, with value 12^24.

Posted by Charlie
on 20100529 16:02:11 