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 re(2): some further thoughts by Harry)

Thanks for you thoughts Harry.

Look back over my last two posts, they may not assist us greatly, and yet they may.

I do note that you have made some analysis of the structure of P, Q, R, and S but mine takes that just a step further ( ?) .

Posted by brianjn on 2009-07-23 12:28:30