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Australian AMC 2015 - Senior Question 18

AMC AUSTRALIA · Australian AMC 2015 - Senior

Question 18

Positive integers $x$ and $y$ satisfy $(2^x+1)(2^y-1)=2015$. What is the value of $xy$?
  1. 36
  2. 40
  3. 12
  4. 30
  5. 24