2005 PMWC Problems/Problem I2
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 T1 |
Followed by Problem T3 | |
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 |