6. (10 points) In the following two equations, the same Chinese characters represent the same digits, and different Chinese characters represent different digits:
Digital Garden + Explore $=2015, \overline{\text { Explore }}+1+2+3+\cdots+10=\overline{\text { Garden }}$
Then the four-digit number Mathematical Garden $=$ $\qquad$
【Solution】Solution: According to the analysis, let $\mathrm{x}=$ Mathematics, $y=\overline{\text { Garden }} \mathrm{z}=$ Exploration
Then: Digital Garden + Exploration $=100 x+y+z=2015 \cdots$ (1)
$$
\begin{array}{l}
\text { Exploration }+1+2+3+\cdots+10=z+1+2+3+\cdots+10=y \\
z+\frac{(1+10) \times 10}{2}=y \\
z+55=y \cdots
\end{array}
$$

Solving (1) and (2) together:
$$
\left\{\begin{array}{l}
100 x+y+z=2015 \\
z+55=y
\end{array}\right.
$$

Solving yields: $50 x+y=1035$
$$
\begin{array}{ll}
\because 100>z=y-55 \geqslant 10 \therefore 65 \leqslant y<100 & 65 \leqslant 1035-50 x<100 \\
935<50 x \leqslant 970
\end{array}
$$
$18.7<x \leqslant 19.4$ and $\because x$ is an integer
$$
\begin{array}{l}
\therefore x=19 \\
y=1035-50 \times 19=85
\end{array}
$$

Therefore, the answer is: 1985