Each of P, Q, R, S and (P+S), with P < Q < R < S, is a non leading zero 10-digit base ten positive integer containing each of the digits from 0 to 9 exactly once. It is known that R is the arithmetic mean of P and S, and Q is the geometric mean of P and S.

Determine the minimum value of P and the maximum value of S.

(In reply to Basic thoughts by brianjn)

Hint requested is in line a guide to any underlying theory of this scenario.

Since this is rated D3 I assume there is something reaaonably analytic rather than setting up a spreadsheet as a calculator and altering two values (a la the table in my prior comment).

Edited on July 22, 2009, 6:20 am

Posted by brianjn on 2009-07-22 04:41:43