Question

Five brothers wanted to share a parcel of land inherited for their late father. The first born received ¼ of the parcel. The second, third and fourth born each received 1/6 of the remainder. If the portion received by the last born was 3 hectares, what was the initial size of the parcel land?

Answer 1

Explanation:

Let the size of their father's land be x.

The first born received x/4

The second, third and fourth born each received 1/6 * (x - x/4) = 3x/24 = x/8

The portion received by the last born = x - (x/4 + 3*x/8) = x - (x/4 + 3x/8) = x - (5x/8) = 3x/8

3x/8 = 3hectares

3x = 24

x = 8.

. : The initial size of the parcel land was 8 hectares.