A Riddle About Brothers and Sisters

A riddle...

A girl has as many brothers as sisters, but each brother has only half as many brothers as sisters. How many brothers and sisters are there in the family?

How many brothers and sisters are there in the family? The family has 4 daughters (sisters) and 3 sons (brothers).

Explanation:

Let's denote the number of brothers as B and the number of sisters as S. Based on the riddle:

Number of brothers = Number of sisters

Each brother has only half as many brothers as sisters:

Each brother (B) has B / 2 sisters

Since the number of brothers and sisters is the same, we can create the equation:

B = S

Substitute the second condition into the first equation:

B = S/2

By solving these two equations simultaneously, we find:

S = 4 and B = 3

← How to improve your math skills Complete the sentences exercise →