Solve Addition: 66543 + 52456 Using Vertical Method

$\begin{aligned} &66543\\ +& \\ &52456 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Let's solve the problem step-by-step:

Step 1: Align the numbers for vertical addition as follows:

\begin{array}{c@{}c@{}c@{}c@{}c@{}c} & 6 & 6 & 5 & 4 & 3 \\ + & 5 & 2 & 4 & 5 & 6 \\ \hline \end{array}

Step 2: Perform the addition from the rightmost digit (units place):

• Units place: $3 + 6 = 9$
• Tens place: $4 + 5 = 9$
• Hundreds place: $5 + 4 = 9$
• Thousands place: $6 + 2 = 8$
• Ten-thousands place: $6 + 5 = 11$
• Write 1 in the ten-thousands place and carry over 1 to the next column.
• Since there are no more columns left to add the carry over, the final digit in the ten-thousands place is 11.

The final result is:

\begin{array}{c@{}c@{}c@{}c@{}c@{}c} & 1 & 1 & 8 & 9 & 9 & 9 \\ \end{array}

Therefore, the sum of 66543 and 52456 is $118999$.