TugofWar

1
Tug-of-War

• Mr and Mrs Jones have two pairs of identical
  twins, Ann and Alison and John and James. They
  all took part in a tug of war competition at the
  local village fete. The two boys and a girl beat
  their father. The two girls and a boy lost to
  their mother. On of the girls and their
  father then played one of the boys and their
  mother. Who won?

2

• Solution
• Girls strength g
• Boys strength b
• Mothers strength m
• Fathers strength f
• 2b g gt f so 2b 2g gt f g
• 2g b lt m so 2g 2b lt m b
• Hence m b gt 2g 2b gt f g and therefore m b
  gt f g
• Hence the mother and her son won the tug of war