A family I know has several children. Each boy in this family has as many sisters as brothers but each girl has twice as many brothers as sisters. How many brothers and sisters are there?
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Answer Posted / Swati Rajput
Let B be the number of boys, and S be the number of girls. We know that each boy has S sisters and each girl has 2B brothers. To ensure that each boy has as many sisters as brothers, we have the equation: B = S. Also, to ensure that each girl has twice as many brothers as sisters, we have the equation: 2B = 2S. From these two equations, we can solve for B and S: B = S = n, where n is any positive integer. However, since there are always more boys than girls in this family, we must have n > 1. For example, if n = 3, the number of brothers and sisters would be 3 boys and 2 girls.
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