Solve Two-Digit Addition: 23 + 51 in Vertical Format

$\begin{aligned} &23 \\ +& \\ &51 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

To solve this problem, we'll use vertical addition, adding two two-digit numbers, 23 and 51. Here’s how to proceed:

• Step 1: Align the numbers vertically by their place values.

Arrange the numbers:

$\begin{aligned} &23 \\ + &51 \\ \end{aligned}$

• Step 2: Add the units digits, which are 3 and 1.

$3 + 1 = 4$

• Step 3: Add the tens digits, which are 2 and 5.

$2 + 5 = 7$

• Step 4: Combine both results.

The sum of the units digits is 4, and the sum of the tens digits is 7, giving the final total of:

$\begin{aligned} &23 \\ + &51 \\ \underline{\phantom{76}} & \\ &74 \\ \end{aligned}$

Therefore, the final result of adding 23 and 51 is $74$.