Difference between revisions of "1995 AHSME Problems/Problem 13"
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Revision as of 09:50, 17 August 2008
Problem
The addition below is incorrect. The display can be made correct by changing one digit 
, wherever it occurs, to another digit 
. Find the sum of and .
Solution
If we change 0 only, it would be incorrect. The same for 1, but 2 we could change to 6. If we try all the other digits, we see that it would be impossible to correct the addition. Thus 
and 
. 
See also
| 1995 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 12 |
Followed by Problem 14 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
