1979 AHSME Problems/Problem 5
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
1979 AHSME (Problems • Answer Key • Resources) | ||
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Followed by Problem 6 | |
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