SOLUTION: jack is jill brother.jill has as many brother as sister. jack has twice mas many sisters as brothers . how many children are there in the family?

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Question 1135887: jack is jill brother.jill has as many brother as sister. jack has twice mas many sisters as brothers . how many children are there in the family?
Answer by ikleyn(52803) About Me  (Show Source):
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highlight%28cross%28jack%29%29 Jack is highlight%28cross%28jill%29%29 Jill's brother.
jill has as many highlight%28cross%28brother%29%29 brothers as highlight%28cross%28sister%29%29 sisters.
jack has twice highlight%28cross%28mas%29%29 as many sisters as brothers.
how many children are there in the family?
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Jack is a boy; Jill is a girl   (If to follow to commonly accepted way of using English names).


Let b = number of boy children in the family

    g = --------- girl  - - - - - - - - - - 


The condition says

    g-1 = b         (1)     ("Jill has as many brother as sister")

    2*(b-1) = g    (2)     ("Jack has twice as many sisters as brothers ")


From equation (1), substitute  b = g-1  into equation (2).


    2*(g-2) = g

    2g - 4 =  g    =====>  g = 4.


ANSWER.  There are 4 girls and 3 boys in the family. In total, 7 children.

Solved.

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    - Classic entertainment problems, Problem 5
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