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The Fair (Posted on 2004-11-08) Difficulty: 3 of 5
A couple is taking their two daughters to a local fair. They are celebrating a birthday of one of the girls. It also marks the fathersí favorite day of the year because it reminds him how lucky he is to not be barred from such festivities. Use the clues below to determine the ages each family member; which daughter is adopted; which daughter is the birthday girl; what is the difference in age of the two girls.

Bonus question: Why is it the fathers favorite day?

1. Dad is six times older than his youngest daughter.
2. The adopted daughters' age in days is 100 times her adopted mother's age in years.
3. In three years the dad will be exactly three times the difference in age between him and his younger wife.
4. The age of the two parents together is one less than ten times the eldest daughter's age.
5. The combined age of all four family members in whole years is seventy-one.

Note: Ages are to be taken in years unless otherwise stated and assume there is no leap year.

See The Solution Submitted by Jeremy Trenary    
Rating: 3.6667 (6 votes)

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Solution? | Comment 1 of 19

Dad is 36, mom is 23. Youngest daughter is the birthday girl at 6 years old, and the older daughter is adopted and is 6.3 years old. The difference in age between the girls is about 110 days.

It's the father's favorite day because the mom was underage when she got pregnant. Once she gave birth to thier daughter and listed him as the father, he could no longer be accused of statutory rape by her parents.


  Posted by Ruth on 2004-11-08 11:39:23
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