A fair Division

            A rich farmer died leaving behind a hundred acres of his farm to be divided among his three daughters Rashmi, Mala and Rekha – in the proportion of one- third, one – fourth and one – fifth, respectively. But Rekha died unexpectedly. 

          Now how should the executor divide the land, between Rashmi and mala in a fair manner?

Answer:    As Rekha’s share falls in through her death , the farm has now to be divided only between Rashmi and Mala, in the proportion of one- third to one- fourth – that is in the proportion of four- twelfths to three. Therefore, Rashmi gets four- sevenths of the hundred acres and Mala three- sevenths.