Alright, let's solve this problem step by step. We have 2005 and 7191 and we're adding them together.

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

Step 2: We'll start by adding the digits 0 & 9 in column 2 and get 9.

Step 3: We'll start by adding the digits 0 & 1 in column 3 and get 1.

Step 4: We'll start by adding the digits 2 & 7 in column 4 and get 9.

So, 2005 + 7191 = 9196.

