Solve Two-Digit Addition: 53 + 37 in Vertical Format

$\begin{aligned} &53 \\ +& \\ &37\\ &\underline{\phantom{776}} & \\ \end{aligned}$

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

• Step 1: Align the numbers
• Step 2: Add the digits in the ones columm and handle carrying if necessary
• Step 3: Add the digits in the tens column, including any carry value

Now, let's work through each step:

Step 1: Align the numbers vertically by place value:

$\begin{aligned} &53 \\ + &37 \\ \hline \end{aligned}$

Step 2: Add the digits in the ones column (3 + 7 = 10):

Write 0 below the line in the ones column and carry over 1 to the tens column.

$\begin{aligned} &1 & \\ &53 \\ + &37 \\ \hline &0 \\ \end{aligned}$

Step 3: Add the digits in the tens column, considering the carried over 1 (5 + 3 + 1 = 9):

Write 9 below the line in the tens column:

$\begin{aligned} &1 & \\ &53 \\ + &37 \\ \hline 9 &0 \\ \end{aligned}$

Therefore, the sum of 53 and 37 is $90$.

This matches the correct answer: 90.