Question 18
Three players on the girls’ football team at Euclid High School have this conversation.
Ashley: “I have just noticed that all our jersey numbers are two-digit primes.”
Bethany: “The sum of your two jersey numbers is the day of the month of my birthday; you have just attended it!”
Caitlin: “Yes, how funny: the sum of your two jersey numbers is also the day of my birthday, which is coming soon.”
Ashley: “I now realize that both of you were born in this month. And the sum of your two jersey numbers equals today’s day of the month!”
What is Caitlin’s jersey number?
Ashley: “I have just noticed that all our jersey numbers are two-digit primes.”
Bethany: “The sum of your two jersey numbers is the day of the month of my birthday; you have just attended it!”
Caitlin: “Yes, how funny: the sum of your two jersey numbers is also the day of my birthday, which is coming soon.”
Ashley: “I now realize that both of you were born in this month. And the sum of your two jersey numbers equals today’s day of the month!”
What is Caitlin’s jersey number?