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Select the correct answerIn a family, each daughter has the same number of brothers as she has sisters and each son has twice as many sisters as he has brothers. How many sons are there in the family ?Options2134

Question

Select the correct answerIn a family, each daughter has the same number of brothers as she has sisters and each son has twice as many sisters as he has brothers. How many sons are there in the family ?Options2134

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Solution

Let's solve this step by step:

  1. Let's assume the number of daughters in the family is D and the number of sons is S.

  2. According to the problem, each daughter has the same number of brothers as she has sisters. This means that the number of sons (S) is equal to the number of daughters minus one (D-1). So, we have the equation: S = D - 1.

  3. The problem also states that each son has twice as many sisters as he has brothers. This means that the number of daughters (D) is twice the number of sons minus one (2*(S-1)). So, we have the equation: D = 2*(S - 1).

  4. Now we can solve these two equations simultaneously. Substituting the first equation into the second gives us: S = 2*(S - 1 - 1), which simplifies to S = 2S - 4.

  5. Solving for S gives us S = 4.

So, there are 4 sons in the family.

This problem has been solved

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