Let's break this down. We're going to add 4131 and 2435 together.

Step 1: We'll start by adding the digits 1 & 5 in column 1 and get 6.

Step 2: We'll start by adding the digits 3 & 3 in column 2 and get 6.

Step 3: We'll start by adding the digits 1 & 4 in column 3 and get 5.

Step 4: We'll start by adding the digits 4 & 2 in column 4 and get 6.

So, 4131 + 2435 = 6566.

