Prime Age
  • While Carly and Cassidy were having dinner one evening, they made a wonderful discovery. Carly realized that her house number and Cassidy's house number were both prime. Cassidy noticed that she could express the number of her house as the sum of the squares of the two digits of Carly's house number. If they were both 15 years younger than their respective house numbers, what is the greatest two-digit age Carly could be?

Answer:    
  Please enter a numerical answer
(ex. 1000 or 2.033) and click GO.		    

Contest problems and answers provided by:

David Rock
rock_david@colstate.edu
Columbus State University

Doug Brumbaugh
brumbad@pegasus.cc.ucf.edu
University of Central Florida