11. (5 points) The sum of two numbers is 830, and the larger number divided by the smaller number gives a quotient of 22 and a remainder of 2. The larger of the two numbers is


794
【Analysis】According to the division of a larger number by a smaller number, the quotient is 22 and the remainder is 2, so the larger number minus 2 is 22 times the smaller number. Therefore, 830 minus 2 is $(22+1)$ times the smaller number. Thus, according to the meaning of division, the smaller number can be found, and then the larger number can be further determined.
【Solution】Solution: $(830-2) \div(22+1)$
$$
\begin{array}{l}
=828 \div 23 \\
=36
\end{array}
$$
$$
830-36=794
$$

Answer: The larger of the two numbers is 794.
Therefore, the answer is: 794.