In the Finn family each girl has the same number of brothers as sisters. Each boy has twice as many sisters as brothers. How many children are in the family?

To determine the number of children in the Finn family, we need to analyze the given information about the relationships between the boys and girls in the family.

Let's assume there are 'g' girls and 'b' boys in the family. According to the problem statement:

1) Each girl has the same number of brothers as sisters.
This means that each girl has (g - 1) brothers and (g - 1) sisters.

2) Each boy has twice as many sisters as brothers.
This implies that each boy has (b - 1) brothers and 2 * (b - 1) sisters.

Now, let's write equations based on the information given:

Number of girls = g
Number of boys = b

Total number of girls = Number of girls * Number of sisters each girl has
= g * (g - 1)

Total number of boys = Number of boys * Number of sisters each boy has
= b * (2 * (b - 1))

Since the problem states that each girl has the same number of brothers as sisters, the total number of girls should also be equal to the total number of sisters in the family.

By equating these two expressions, we get:
g * (g - 1) = b * (2 * (b - 1))

Now, we can solve this equation to find the values of 'g' and 'b', which represent the number of girls and boys in the family.

However, there might not be a unique solution to this problem, as there could be multiple combinations of 'g' and 'b' that satisfy the equation. Therefore, without further constraints or information, we can't determine the exact number of children in the Finn family.