Difference between revisions of "2014 AMC 8 Problems/Problem 23"
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| + | 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. | ||
| + | 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? | ||
| + | |||
| + | <math>\textbf{(A) }11\qquad\textbf{(B) }13\qquad\textbf{(C) }17\qquad\textbf{(D) }19\qquad \textbf{(E) }23</math> | ||
==See Also== | ==See Also== | ||
{{AMC8 box|year=2014|num-b=22|num-a=24}} | {{AMC8 box|year=2014|num-b=22|num-a=24}} | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Revision as of 20:33, 26 November 2014
Three members of the Euclid Middle School girls' softball team had the following conversation.
Ashley: I just realized that our uniform numbers are all 
-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?
See Also
| 2014 AMC 8 (Problems • Answer Key • Resources) | ||
| 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 | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
