Solve Vertical Addition: 26 + 74 Step-by-Step

$\begin{aligned} &26 \\ +& \\ &74 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

To solve this problem, we'll use vertical addition as follows:

Step 1: Arrange the numbers vertically with the place values aligned.

  $26$
+ $74$
$\underline{\phantom{776}}$

Step 2: Add the numbers starting from the ones column:
- Add the ones place: $6 + 4 = 10$. Write down $0$ and carry over $1$ to the tens column.

  $26$
+ $74$
$\underline{\phantom{776}}$
  $00$

Step 3: Move to the tens column: Add $2 + 7 = 9$, then add the carried over $1$ to get $10$.
- Write down $10$.

     $26$
  + $74$
  $\underline{\phantom{6707}}$
  $100$

Therefore, the sum of $26$ and $74$ is $100$.

The correct answer amongst the choices provided is :

100

Therefore, the solution to the problem is $100$.