Several siblings are dividing the inheritance. According to the will, $A$ receives 2000 crowns and one-tenth of the remainder; $B$ receives 4000 crowns and one-tenth of the remainder; $C$ receives 6000 crowns and one-tenth of the remainder, and so on. After the division, it turned out that each sibling received an equal amount. How many siblings were there, how much did each receive, and what was the total inheritance?
If the entire inheritance is $x$, then $A$'s share is $2000+\frac{x-2000}{10}=1800+\frac{x}{10}$; $B$'s share is $4000+\frac{1}{10}\left[x-1800-\frac{x}{10}-4000\right]=$ $3420-\frac{9 x}{100}$.

Thus,

$$
1800+\frac{x}{10}=3420+\frac{9 x}{100}
$$

from which

$$
x=162000
$$

The number of siblings is 9, and each one's inheritance is $18000 \mathrm{~K}$.

(Kürti Imre, Eger.)

Number of solutions: 26.