13.170. One tractor brigade plowed 240 ha, and the other plowed $35 \%$ more than the first. The first brigade processed 3 ha less daily than the second, but finished the work 2 days earlier than the second. How many hectares did each brigade process per working day, given that the planned daily norm of 20 ha was exceeded by both brigades?
Solution.

The second brigade plowed $240 \cdot 1.35=324$ hectares. Let $x$ hectares be the amount the first brigade processed daily, and $(x+3)$ hectares - the second brigade; $y$ days the first brigade worked, and $(y+2)$ days - the second brigade. According to the problem,

$$
\left\{\begin{array}{l}
x \cdot y=240, \\
(x+3)(y+2)=324,
\end{array}\right.
$$

Answer: 24 and 27 hectares.