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cricket20 [7]
3 years ago
6

In a family, each brother has as many sisters as brothers, but each sister has twice as many brothers as she has sisters. How ma

ny brothers and how many sisters are there in this family?
Mathematics
1 answer:
daser333 [38]3 years ago
4 0

Answer:

4 brothers and 3 sisters

Step-by-step explanation:

Let x be the number of brothers and y be the number of sisters in the family.

1.  Each brother has x-1 brothers and y sisters. If each brother has as many sisters as brothers, then

x-1=y.

2. Each sister has y-1 sisters and x brothers. If each sister has twice as many brothers as she has sisters, then

2(y-1)=x.

3. Solve the system of two equations:

\left\{\begin{array}{l}x-1=y\\ \\2(y-1)=x\end{array}\right.\Rightarrow 2(y-1)-1=y,\\ \\2y-2-1=y,\\ \\2y-y=2+1,\\ \\y=3.

Then

x=y+1=3+1=4.

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