Thanks to Ravi for introducing me to these with his problems but here goes. A father, mother, son, daughter and grandmother are all compairing ages. They find out this:

1) When the mother was the daughter' current age, the grandmother was twice as old as the father.

2) In one year, the father will be twice as old as his son.

3) When the daughter was 2/3 her current age, the son was twice as old as she was.

4)When the mother was 10 years younger than the daughter will be when she is twice her current age, the grandmother was twice as old as the mother was.

What are all the ages in the family?

I agree with Charlie's 2nd, 3rd, or 4th solutions from 7/16. I personally favor #3 , because most women don't give birth at either ages 14 or 50, though it's indeed possible. Thank goodness for Cramer's rule and Excel, which calculates determinants so quickly. Otherwise, I wouldn't have finished nearly so soon

Posted by Wayne on 2003-07-23 04:47:56