AllExperts > Puzzle Solving 
Search      
Puzzle Solving
Volunteer
Answers to thousands of questions
 Home · More Puzzle Solving Questions · Answer Library  · Encyclopedia ·
More Puzzle Solving Answers
Question Library

Ask a question about Puzzle Solving
Volunteer
Experts of the Month
Expert Login

Awards

About Us
Tell friends
Link to Us
Disclaimer

 
 
 
 
About Surajit Basu
Expertise
I can answer questions which are mathematical, logical, or wordplay related. I am not good at highly creative problems, or riddles.

Experience
I regularly do puzzles, and help out friends, teenagers. I read books written by Martin Gardener. I love the puzzles and Easter eggs in Douglas Hofstadter's Godel, Escher, Bach: an enternal golden braid.

Publications
A few examples of my writing: http://surajitbasu.sulekha.com/blog/post/2006/04/the-journey-down-the-number-line.htm

Education/Credentials
B. Tech. ( Computer Science), IIT Kanpur, India MBA ( Post-Graduate Diploma in Business Management), (Finance, Systems), IIM Calcutta, India

 
   

You are here:  Experts > Games > Puzzles > Puzzle Solving > mathlogic puzzle

Puzzle Solving - mathlogic puzzle


Expert: Surajit Basu - 4/13/2008

Question
in one family there are several children in which each boy has as many sisters as he has brothers but  each girl has brothers which are twice of sisters she has then how many brothers and sisters are they?

Answer
n one family there are several children in which each boy has as many sisters as he has brothers but  each girl has brothers which are twice of sisters she has then how many brothers and sisters are they?


Suppose there are B boys and G girls.

We know each boy has as many sisters as he has brothers.

How many sisters does each boy have?
Of course, it is
.. think ....












Each boy has G sisters.
How many brothers does each boy have?
Of course, it is
.. think ....









Each boy has (B-1) brothers.
We know each boy has as many sisters as he has brothers.
So, G = B-1.

We know each girl has brothers which are twice of sisters.

How many brothers does each girl have?
Of course, it is
.. think ....












Each girl has B brothers.
How many sisters does each girl have?
Of course, it is
.. think ....









Each girl has (G-1) sisters.
We know each girl has brothers which are twice of sisters.
So, B = 2 * ( G-1)
We also know ( Earlier) that G = B-1.

Thus, B = 2 * ( G-1)
Replacing G with B-1 we get
B = 2 * ( B-1 -1)

i.e. B = 2B - 4
i.e. B = 4.
So, G = 3.

Try it out imagining you are one of the brothers, and one of the sisters.

Follow up at surajit@gmail.com  

View Follow-Ups    Add to this Answer   Ask a Question


 
User Agreement | Privacy Policy | Kids' Privacy Policy | Help
Copyright  © 2008 About, Inc. AllExperts, AllExperts.com, and About.com are registered trademarks of About, Inc. All rights reserved.