www.TheMathWebSite.com       Enrichment Problems HD
      Answer is at Bottom of Page.

      Three Sons :

A man left a hundred acres of land to be divided among his three sons
-- Alfred, Benjamin, and Charles -- in the proportion
of one-third, one-fourth, and one-fifth respectively. But Charles died.
How was the land to be divided fairly between Alfred and Benjamin?

Copyright © 1994-. All rights reserved.    www.TheMathWebSite.com       HD11

----------------- Cut or Fold Page Back Along This Line -----------------------

      Three Sons :     ANSWER

As the share of Charles falls in through his death, we have merely to divide the whole
hundred acres between Alfred and Benjamin in the proportion of one-third to one-fourth
-- that is in the proportion of four-twelfths to three-twelfths, which is the same as four to three.
Therefore Alfred takes four-sevenths of the hundred acres and Benjamin three-sevenths.