Difference between revisions of "1979 AHSME Problems/Problem 5"
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Revision as of 12:29, 5 January 2017
Problem 5
Find the sum of the digits of the largest even three digit number (in base ten representation) which is not changed when its units and hundreds digits are interchanged.
Solution
Solution by e_power_pi_times_i
Since the number doesn't change when the units and hundreds digits are switched, the number must be of the form 
. We want to create the largest even 
-digit number, so 
and 
. The sum of the digits is 
.
See also
| 1991 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 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 | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
