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Jack is Jill's brother.
jill has as many brothers as sisters.
jack has twice 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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See the lesson
- Classic entertainment problems, Problem 5
in this site.