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2014 AMC 12A Question 6

AMC12 · 2014 AMC 12A

Question 6

The difference between a two-digit number and the number obtained by reversing its digits is $5$ times the sum of the digits of either number. What is the sum of the two-digit number and its reverse?
  1. $44$
  2. $55$
  3. $77$
  4. $99$
  5. $110$