25. The coordinates of point $P(x, y)$ satisfy the following relations:
$$
\left\{\begin{array}{l}
2 x+y \geqslant 15, \\
x+3 y \geqslant 27, \\
x \geqslant 2, \\
y \geqslant 3,
\end{array}\right.
$$

and $x, y$ are both integers. Then the minimum value of $x+y$ is
$\qquad$, and at this time, the coordinates of point $P$ are $\qquad$.
$25.12,(3,9)$ or $(4,8)$.
Adding equations (1), (2), and (3), we get $x+y \geqslant 11$.
If $x+y=11$, then the equalities in equations (1), (2), and (3) hold, and the system of equations has no integer solutions.
If $x+y=12$, from $2 x+y \geqslant 15$, we get $x \geqslant 3$;
from $x+3 y \geqslant 27$, we get $2 y \geqslant 15$, hence $x \geqslant 3, y \geqslant 8$.
In this case, the coordinates of point $P$ are $(3,9)$ or $(4,8)$.
(Hong Wangbao provided)