Multiple choice general knowledge math & puzzles

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?

  1. 4 songs and 3 daught

  2. 3 sons and 4 daught

  3. 5 sons and 2 daught

  4. 6 songs and 1 daught

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let daughters = d, sons = s. Each daughter has d-1 sisters and s brothers, so d-1 = s. Each son has d sisters and s-1 brothers, so d = 2(s-1). Substituting s = d-1: d = 2(d-2), giving d = 4 and s = 3. This works because each daughter has 3 sisters and 3 brothers (equal), while each son has 4 sisters and 2 brothers (twice as many).