Solve Vertical Addition: Finding the Sum of 37 + 46

$\begin{aligned} &37 \\ +& \\ &46 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

To accurately sum the numbers 37 and 46 using vertical addition, follow these steps:

Step 1: Add the Units Column
Start by adding the digits in the units place: $7 + 6 = 13$. Since 13 is greater than 9, we write down the 3 in the units place of the result and carry over 1 to the tens column.

Step 2: Add the Tens Column
Next, add the digits in the tens column, along with any carried over value. Here we have $3 + 4 = 7$, plus the carry over of 1, giving $7 + 1 = 8$.

Final Result:
Combine the tens and units results. The sum is $83$.

Therefore, the solution to the problem is $\boxed{83}$.