Alright, let's solve this problem step by step. We have 1544 and 1235 and we're adding them together.

Step 1: We'll start by adding the digits 4 & 5 in column 1 and get 9.

Step 2: We'll start by adding the digits 4 & 3 in column 2 and get 7.

Step 3: We'll start by adding the digits 5 & 2 in column 3 and get 7.

Step 4: We'll start by adding the digits 1 & 1 in column 4 and get 2.

So, 1544 + 1235 = 2779.

