How many brothers and sisters are there ?

Sir / madam,
My question is

A family I know has several children. Each boy in this family has as many sisters as brothers but each girl has twice as many brothers as sisters. How many brothers and sisters are there?

Advance Thanks,
R.Rengaraj
{SCE 34/2008/Pg 4 of 85}
{On this forum my 4th Question.}

Replies

  • yadavundertaker mohit
    yadavundertaker mohit
    1 sister and 2 brothers.
  • rengaraj
    rengaraj
    yadavundertaker
    1 sister and 2 brothers.
    Sir,
    Can it be 2 sister and 4 brother ???
    Since they specified as many sisters.
    Please Suggest.
    R.Rengaraj
  • yadavundertaker mohit
    yadavundertaker mohit
    what i think is that the question is not correct or i am unable to get it ...lets try it mathematically step by step

    Let no. of brothers =x

    Let no. of sisters =y

    Acc. to Ist condition

    x-1=y

    Acc. to 2nd condition

    y-1=2x

    putting value of x in 2nd from Ist

    y-1=2(y+1)

    y=-3 which is not possible

    then value of x is = -2 again it is not possible ...
  • yadavundertaker mohit
    yadavundertaker mohit
    if the 2nd condition means each sister has double the sister as many as brother then we can solve this question

    then 2nd condition becomes

    2(y-1)= x

    putting value of x from Ist equation to 2nd

    2(y-1) =y+1

    y= 3

    then x = 4

    No. of brothers =4

    No. of sisters =3
  • yadavundertaker mohit
    yadavundertaker mohit
    rengaraj
    Sir,
    Can it be 2 sister and 4 brother ???
    Since they specified as many sisters.
    Please Suggest.
    R.Rengaraj

    there cann't be 2 sisters if there are 4 brothers because according to the Ist each brother has same no. of sisters and brothers .And acc. to your answer each brother has 3 brothers and 2 sisters....
  • Saandeep Sreerambatla
    Saandeep Sreerambatla
    The answer should be 3 sisters and 4 brothers.


    Cond1 - Each brother has as many sisters as brothers.

    So considering s1,s2,s3 and b1, b2,b3 and b4
    Each of the b1 to b4 has 3 sisters and 3 brothers.

    Cond2- Each girl has twice as many brothers as sisters

    So now s1 has 2 sisters and 4 brothers.

    similarly s2 and s3 also.

    The answer is 3s and 4b..


    Its not 1s and 2b because according to second condition there should be more than 1 girl.
  • rengaraj
    rengaraj
    Sir,
    Excellent answer given.
    But i didn't try mathematically, that's my mistake.
    Thanks,
    R.Rengaraj
  • sharadha Shivakumar
    sharadha Shivakumar

    sir is it ok  to use co prime numbers

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