$A, B, C$ and $D$ need to divide a certain amount of money in such a way that the ratio of their shares is $3: 4: 5: 6$. However, the distribution occurred in the ratio of $3: 4: 6: 7$, as a result, $C$ and $D$ together received 1400 crowns more. What was the total amount to be divided?
If the amount to be divided is $x$, then

$$
\frac{5 x+6 x}{18}+1400=\frac{6 x+7 x}{20}
$$

from which

$$
x=36000
$$

(Tóth Balázs, Eger.)

The problem was also solved by: Ehrenstein P., Freund E., Füstös P., Harsányi Z., Jánossy F., Jánosy Gy., Kiss J., Makó E., Paunz A., Sárközy E., Schlesinger Gy.; Schuster Gy., Schwarz Gy., Steiger J., Szabó J. - The 5th grade of the Budapesti Ág. h. ev. főgymn.