A father left an inheritance of 84,000 korona for his minor children, to be divided equally among them, with the condition that if any of them died before reaching adulthood, their share would be equally divided among the surviving children. Before reaching adulthood, two of the children died, and thus the survivors received an additional 3,500 korona each. How many children did the deceased have?
$$
\frac{84000}{x}+3500=\frac{84000}{x-2},
$$

which has the positive root: $x=8$.

Number of solutions: 36.