Add Five-Digit Numbers: 81541 + 17759 Addition Problem

$\begin{aligned} &81541\\ +& \\ &17759 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

To solve this problem, we'll follow these steps:

• Step 1: Arrange the numbers vertically and align by the rightmost digit.
• Step 2: Add digits starting from the right (units place) and move left.
• Step 3: Carry over any value over 9 to the next set of digits.

Now, let's work through each step:

Step 1: Arrange the numbers:

$\begin{aligned} &\phantom{+}81541 \\ + &\phantom{+}17759 \\ \end{aligned}$

Step 2: Add digits starting from the rightmost digit:

1. Units place: $1 + 9 = 10$. Write down 0 and carry over 1.
2. Tens place: $4 + 5 = 9$. Add the carried 1: $9 + 1 = 10$. Write down 0 and carry over 1.
3. Hundreds place: $5 + 7 = 12$. Add the carried 1: $12 + 1 = 13$. Write down 3 and carry over 1.
4. Thousands place: $1 + 7 = 8$. Add the carried 1: $8 + 1 = 9$. Write down 9.
5. Ten-thousands place: $8 + 1 = 9$. Write down 9.

The addition will look like this:

$\begin{aligned} &\phantom{8}81541 \\ + &\phantom{8}17759 \\ \hline &\phantom{8}99300 \\ \end{aligned}$

Therefore, the addition of these two numbers results in $99300$.