# A man died. Let's divide the estate!!! How?

This is a very interesting word problem that I came across in an old textbook of mine. So I know its got something to do with plain old algebra, which yields the shortest, simplest answers, but other than that, the textbook gave no hints really and I'm really not sure about how to approach it. Any guidance hints or help would be truly greatly appreciated. Thanks in advance :) So anyway, here the problem goes:

A man dies and leave his estate to his sons.

The estate is divided as follows:

$1$st son gets 100 crowns $+$ $\frac{1}{10}$ of remainder of estate.

$2$nd son gets 200 crowns $+$ $\frac{1}{10}$ of remainder of estate ...