"I have come to consult you," said the lawyer to the mathematician, "about Bill Brown's will. Bill Brown was fatally injured in a traffic accident while he was on his way to the hospital where his expectant wife was confined. He lived long enough to make a will, which provides that if his child is a boy, the estate is to be divided in the proportion of two-thirds to the boy and one-third to the widow. But if the child is a girl, she is to receive only one-fourth and the widow receives the remaining three quarters."

"Now, Mrs. Brown has given birth to twins, a boy and a girl. There is some question whether the will can be held to apply. What would be the correct division of the estate to carry out Brown's evident intentions?"

What was the mathematician's reply?

Solution