Solve Vertical Addition: Finding the Sum of 37 + 43

$\begin{aligned} &37 \\ +& \\ &43 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Let's solve the problem of adding 37 and 43 using vertical addition:

• Step 1: Align the Numbers Vertically
  Write the numbers such that their digits align according to place value: $\begin{array}{c} & 37 \\ + & 43 \\ \hline \end{array}$
• Step 2: Add the Units Place
  Start with the units place (rightmost digits). Add 7 (from 37) to 3 (from 43): $7 + 3 = 10$
  Since 10 is greater than 9, we write 0 in the units place and carry over 1 to the tens place.
• Step 3: Add the Tens Place
  Now, add the tens digits: 3 (from 37) and 4 (from 43), plus the 1 we carried over: $3 + 4 + 1 = 8$
• Step 4: Write the Final Sum
  Combining these results, we place 0 in the units position and 8 in the tens position, resulting in: $\begin{array}{c} & 37 \\ + & 43 \\ \hline & 80 \\ \end{array}$

Therefore, the sum of 37 and 43 is $80$.