perplexus.info :: Numbers : Arithmetic and Geometric Pandigital

Arithmetic and Geometric Pandigital (Posted on 2009-07-16)

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.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

There are 27 possible quintuplets for {P, Q, R, S, P+S}.
The one with the smallest P value is: {1076539482, 2153078964, 2691348705, 4306157928, 5382697410}.
The one with the biggest S value is: {1975308642, 3950617284, 4938271605, 7901234568, 9876543210}.
For an explanation, refer to the solution submitted by Harry in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(2): Solution (I think)	Harry	2009-07-25 00:26:53
re: Solution (I think)	brianjn	2009-07-24 23:12:50
Solution (I think)	Harry	2009-07-24 17:47:48
re(2): Considerations which might reduce programming	brianjn	2009-07-23 22:59:57
re: Considerations which might reduce programming	Charlie	2009-07-23 16:48:44
re(3): some further thoughts	brianjn	2009-07-23 12:28:30
re: Considerations to reduce programming -follow	brianjn	2009-07-23 12:24:39
Considerations which might reduce programming	brianjn	2009-07-23 12:17:56
re(2): some further thoughts	Harry	2009-07-23 10:55:05
re: Basic thoughts	brianjn	2009-07-22 04:41:43
Basic thoughts	brianjn	2009-07-22 01:35:42

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info