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Australian AMC 2019 - Middle Primary Question 22

AMC AUSTRALIA · Australian AMC 2019 - Middle Primary

Question 22

My sister and I are playing a game where she picks two counting numbers and I have to guess them. When I tell her a number, she multiplies my number by her first number and then adds her second number.

When I say 15, she says 50. When I say 2, she says 11.

If I say 6, what should she say?
  1. 23
  2. 27
  3. 35
  4. 41
  5. 61