Let's break this down. We're going to add 4161 and 5001 together.

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

Step 2: We'll start by adding the digits 6 & 0 in column 2 and get 6.

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

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

So, 4161 + 5001 = 9162.

