The number 201 is divided by a positive integer N. It is observed that the quotient, remainder and divisor (that is, N itself), but not necessarily in this order, are in geometric sequence.

What can N be?

(In reply to doing something wrong? by Jer)

What a silly mistake!
After coming up with

q(qx + x^2) = 201

I went on to assume that (qx + x^2) had to be an integer.  This would imply that q divides 201 which it clearly cannot.

Posted by Jer on 2006-11-10 14:31:11