Family Math

My daughter has many sisters. She has as many sisters as she has brothers.
Each of her brothers has twice as many sisters as brothers.
How many sons and daughters do I have?

Answer: 3 sons and 4 daughters.

Easy explanation:
Think about what each child sees.

  • If there are 3 sons, then each boy sees 2 brothers. The riddle says each brother has twice as many sisters as brothers, so he should see 4 sisters. That means there must be 4 daughters.

  • Check the daughter rule: each girl would then see 3 sisters and 3 brothers — the same number, which matches the riddle.

So the family has 3 sons and 4 daughters.

13
14