olymmath

HMMT 2018 C2

  • Combinatorics
  • Answer

Let aa and bb be five-digit palindromes (without leading zeroes) such that a<ba<b and there are no other five-digit palindromes strictly between aa and bb. What are all possible values of b−ab-a ? (A number is a palindrome if it reads the same forwards and backwards in base 10.)

Dataset text NuminaMath olympiads. Quoted with source.

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11,100,110

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