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Daughters and Sons (Posted on 2003-10-25) Difficulty: 2 of 5
A mother and her friend are talking about how many chidren they have. The friend knows how many daughters the mother has, but doesn't know how many sons she has. The mother says:

"All of my children have the same amount of brothers and the same amount of sisters as the other children."

Now the friend knew how many sons she had. How many sons did the mother have?

  Submitted by Lewis    
Rating: 3.0667 (15 votes)
Solution: (Hide)
There can't be daughters and sons, because the sons would have more sisters than the daughters, and vice versa. If the mother had 0 daughters, then she could have any number of sons. That could not have been the case, as the friend wouldn't know the number of sons.

If she had N daughters (N being any positive integer), the daugters would have N-1 sisters. If there was sons too, they would have N sisters. So the mother had no sons, but we do not know how many daughters she had.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
commentK Sengupta2007-03-02 23:05:21
Solutionfinal solutionandy_b2005-10-10 12:41:15
Lower difficulty rating?Rebecca Jaffe2005-08-30 04:46:31
re(2): Solution3llis2005-01-16 23:09:56
Sons or daughtersCaptain Paradox2004-01-04 21:05:44
Logical answergary2003-11-14 18:12:33
re:Charlie2003-11-07 22:21:01
QuestionNo SubjectCharlie2003-11-07 22:19:36
re: i no it reallykas2003-11-07 17:04:04
i no it reallyJenna2003-11-02 14:53:58
No SubjectTanya2003-10-30 00:28:41
0 how hard is thatjen2003-10-29 17:58:31
re: # sons = ?Gamer2003-10-27 16:58:08
# sons = 0winston2003-10-27 16:25:28
re: I think I got itJulia2003-10-26 20:49:41
I think I got itsandra2003-10-26 14:11:00
mathematical solutionA2003-10-26 00:44:24
re: SolutionA2003-10-26 00:25:21
re: SolutionDJ2003-10-25 15:27:36
SolutionSolutionLisa2003-10-25 14:42:11
Some Thoughtsmay be a solutionjaypee2003-10-25 13:26:46
SolutionSolutionDJ2003-10-25 10:45:50
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