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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)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(3): Solution | Comment 11 of 19 |
(In reply to re(2): Solution by Michael Cottle)

I see everyone has done the math... I'm stuck on the bonus question. This day is special because it is the older girl's birthday, so perhaps it is a "Father's Day" festival. Before the birth of that daughter, he might have been barred...?

Or perhaps has was an illegal alien until the daughter was born and/or he got married to the mom, and was naturalized...?

It's a stumper!


Hi Bill,
I disagree. The mother could have adopted the child anytime after she was born. They could have waited until the child was say 4 years old. That would still be a young set of parents, but older than 17. I doubt they would have gotten court approval with the mother at age 17! :)
  Posted by jmnw on 2004-11-30 00:19:47

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