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Arithmetic and Geometric Pandigital (Posted on 2009-07-16) Difficulty: 3 of 5
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.

No Solution Yet Submitted by K Sengupta    
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re: Basic thoughts | Comment 2 of 11 |
(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

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