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.
(In reply to re: Bonus answer?
I got the numerical part. As for the bonus, my first thought was that Dad was on a one-day parole/furlough from prison. But "It marks the fathersí favorite day of the year because it reminds him how lucky he is to not be barred from such festivities" seems to suggest something a bit different. So, who would be barred? Well, at one time in the US Negros would have been. (There were also times and places where other ethnic groups were discriminated against -- Chinese in 1850's California, Irish in England, also peaking in 1840-50's.) What day would be a reminder of the end of such discrimination? Emancipation Day would be the most obvious, except that there is no such holiday (the Emancipation Proclamation went into effect on January 1st, already a holiday as New Years Day). The next best would be either Lincoln's Birthday, February 12, or Martin Luther King day, January 16. Memorial Day might also be a possibility, since it was originally for Civil War dead, but it started in the South for Confederate soldiers, and has since been applied to the dead of all wars.