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AMC8 2027 - Self-practice Set 8 Question 25

AMC8 · AMC8 2027 - Self-practice Set 8

Question 25

Three players on Euclid Middle School's girls' team have this conversation.
Ashley: "Our jersey numbers are all two-digit primes."
Bethany: "The sum of your two numbers is the day of my recent birthday."
Caitlin: "The sum of your two numbers is also the day of my upcoming birthday."
Ashley: "And the sum of your two numbers is today's day of the month."
The two birthdays mentioned and today are all in the same month. What is Caitlin's jersey number?
  1. 11
  2. 13
  3. 17
  4. 19
  5. 23