Solve Vertical Addition: 285 + 146 Step-by-Step

To solve the problem of adding 285 and 146, we'll use vertical addition with regrouping. Here are the steps:

Step 1: Write the numbers vertically, aligning by their place values:

$\begin{aligned} & 285 \\ + & 146 \\ & \underline{\phantom{776}} \end{aligned}$

Step 2: Begin addition from the rightmost column (units):

$\begin{aligned} \text{Units:} & \, 5 + 6 = 11 \quad (\text{write 1, carry over 1}) \\ \end{aligned}$

Step 3: Move to the tens column, adding the carry:

$\begin{aligned} \text{Tens:} & \, 8 + 4 + 1 = 13 \quad (\text{write 3, carry over 1}) \\ \end{aligned}$

Step 4: Finally, add the hundreds column:

$\begin{aligned} \text{Hundreds:} & \, 2 + 1 + 1 = 4 \quad (\text{write 4}) \\ \end{aligned}$

The final sum reads:

$\begin{aligned} & 431 \\ \end{aligned}$

Therefore, the sum of 285 and 146 is $431$, which matches choice 2 in the provided multiple-choice options.

Therefore, the solution to the problem is $431$.