Difference between revisions of "2005 PMWC Problems/Problem I2"
(terribly non-rigorous sol... oh well) |
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Revision as of 21:10, 25 April 2014
Problem
Let 
, where 
and 
are different four-digit positive integers (natural numbers) and 
is a five-digit positive integer (natural number). What is the number ?
Solution
- The following solution is non-rigorous.
Consider the easier question 
. The solution with unique values is 
. If we use this format to guess for 
in the problem, then we find that 
. These fit the conditions, so the answer is 
.
See also
| 2005 PMWC (Problems) | ||
| Preceded by Problem I1 |
Followed by Problem I3 | |
| I: 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 T: 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
