Gymnasium for Brain

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23. solution - Brothers & Sisters

 Answer : 4 Boys and 3 Girls.
 It is possible only with small numbers. Let us start and try from small  integers.

           Boys                     Girls                                                        

             2                             1    Conditions are not satisfied.
            

             4                             3   Condition are satisfied.

http://www.freewebs.com/sita_mani/Brothers and sisters -1.swf

Why we tried with small numbers ? Can you explain :

According to the puzzle

No of boys = Half the number of girls + one

When B = 6  G = (6/2) +1 = 4 ; 6 & 4 are not consecutive numbers.

Let us try with one more number.

When B = 8 ;  G = (8 / 2) + 1 = 5 ; 8 & 5 are not consecutive numbers.

By mere observation we can see that when the number of boys are more, the difference between the boys and girls are also in increasing order.
So it is possible only with small numbers.

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