Problem:
A palindrome, such as , is a number that remains the same when its digits are reversed. The numbers and are three-digit and four-digit palindromes, respectively. What is the sum of the digits of ?
Answer Choices:
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B.
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E.
Solution:
Let be written in the form . Because has three digits, , and so and . Hence , and the sum of the digits of is .
The problems on this page are the property of the MAA's American Mathematics Competitions