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Australian AMC 2018 - Intermediate Question 23

AMC AUSTRALIA · Australian AMC 2018 - Intermediate

Question 23

Suppose $p$ is a two-digit number and $q$ has the same digits, but in reverse order. The number $p^2-q^2$ is a non-zero perfect square. The sum of the digits of $p$ is
  1. 7
  2. 9
  3. 11
  4. 12
  5. 13