Difference between revisions of "2014 AMC 8 Problems/Problem 23"

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==Problem==
 
Three members of the Euclid Middle School girls' softball team had the following conversation.
 
Three members of the Euclid Middle School girls' softball team had the following conversation.
 
Ashley: I just realized that our uniform numbers are all <math>2</math>-digit primes.
 
Ashley: I just realized that our uniform numbers are all <math>2</math>-digit primes.

Revision as of 20:42, 26 November 2014

Problem

Three members of the Euclid Middle School girls' softball team had the following conversation. Ashley: I just realized that our uniform numbers are all $2$-digit primes. Bethany: And the sum of your two uniform numbers is the date of my birthday earlier this month. Caitlin: That's funny. The sum of your two uniform numbers is the date of my birthday later this month. Ashley: And the sum of you two uniform numbers is today's date.

What number does Caitlin wear?

$\textbf{(A) }11\qquad\textbf{(B) }13\qquad\textbf{(C) }17\qquad\textbf{(D) }19\qquad \textbf{(E) }23$

See Also

2014 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 22
Followed by
Problem 24
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AJHSME/AMC 8 Problems and Solutions

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