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April 29th, 2012, 07:14 AM  #1 
Newbie Joined: Feb 2012 Posts: 10 Thanks: 0  Difference of their ages
Mary is younger than her husband, but their ages contain the same two digits. The sum of their ages is 11 times the difference of their ages. How old is Mary?

April 29th, 2012, 08:17 AM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 461 Math Focus: Calculus/ODEs  Re: Difference of their ages
Let M be Mary's age and H be the age of her husband. If is the tens digit and is the ones digit of Mary's age respectively, then we have: Using the given relationship between their ages, we have: Hence: Mary is 45 years old. 

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