Skip to content / Đến nội dung
ThichHocToan.com

Australian AMC 2008 - Senior Question 23

AMC AUSTRALIA · Australian AMC 2008 - Senior

Question 23

The numbers 828 and 313 are 3-digit palindromes where $828-313=515$, which is also a palindrome. How many pairs $(a,b)$ of 3-digit palindromes are there with $a>b$ and with $a-b$ also a 3-digit palindrome?
  1. 1972
  2. 1980
  3. 1988
  4. 1996
  5. 2008