# Father's will

Algebra Level 4

A father in his will left all his money to his children in the following manner:

$$1000$$ to the first born and $$\frac{1}{10}$$ of what then remains, then $$2000$$ to the second born and $$\frac{1}{10}$$ of what then remains, then $$3000$$ to the third born and $$\frac{1}{10}$$ of what then remains, and so on.

When this was done each child had the same amount. How many children were there?

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