Solve Vertical Addition: 17 + 94 Step-by-Step

To solve this problem, we will perform the following steps:

Step 1: Align the numbers by their place values:

$\begin{array}{c} 17 \\ + 94 \\ \hline \end{array}$

Step 2: Begin adding the rightmost digits, i.e., the ones column:

The ones digits are $7$ and $4$.
$7 + 4 = 11$.

Since $11$ is greater than $9$, we write down $1$ and carry over the $1$.

Step 3: Move to the tens column, adding the tens digits along with the carry:

The tens digits are $1$ and $9$, plus the carried over $1$:

$1 + 9 + 1 = 11$.

Write the last digit $1$ and carry over the $1$ to the hundreds column (excess here becomes the hundreds place).

Step 4: Align the result:

$\begin{array}{cc} \quad \quad \quad 1 ~\text{(carry)} \\ & \\ 17 \\ + 94~~~ \\ \hline 111~~ \\ \end{array}$

Thus, the sum of $17$ and $94$ is $111$.

Therefore, the correct answer is $111$.