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April 29th, 2012, 07:14 AM   #1
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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?
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April 29th, 2012, 08:17 AM   #2
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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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