Number Treasury - P1
Contributed by: humblefool
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Difficulty: 10
This problem is tagged with nt.
Define a four-digit natural number $abcd$ to be "beautiful" if the following holds true:
i) $abc$ is a palindrome
ii) $abcd + dcba$ is a four-digit palindrome
Find the largest beautiful number. [Note: $dcba$ is also a four digit number]
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