1. In Professor Thomson's will he left his 499 Propex shares to the three children, but subject to the square of the daughter's share being half the product of the two sons' shares. Certainly unusual, but it did make sense. How would the shares be apportioned?

145 shares to the daughter, 179 and 192 to the sons

130 shares to the daughter, 169 and 200 to the sons

150 shares to the daughter, 160 and 221 to the sons