Calculate the Sum: 24789 + 35140 Using Vertical Addition

$\begin{aligned} &24789\\ +& \\ &35140 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

To solve this problem, we will perform vertical addition of the given numbers:

$\begin{aligned} &24789\\ +& \\ &35140 \\ &\underline{\phantom{776}}\\ \end{aligned}$

We add column by column starting from the rightmost digit (units):

• Units: $9 + 0 = 9$. Write 9 below the line.
• Tens: $8 + 4 = 12$. Write 2 below the line and carry over 1 to the next column.
• Hundreds: $7 + 1 + 1 (\text{carry}) = 9$. Write 9 below the line.
• Thousands: $4 + 5 = 9$. Write 9 below the line.
• Ten-thousands: $2 + 3 = 5$. Write 5 below the line.

Putting it all together, the sum is $59929$.

Therefore, the solution to the problem is $59929$.