Okay, we are tasked with adding 4172 and 2080. Let's begin!

Step 1: We'll start by adding the digits 2 & 0 in column 1 and get 2.

Step 2: We'll start by adding the digits 7 & 8 in column 2 and get 15.
We'll write down the last digit 5 and carry the 1 to the next column.

Step 3: We'll start by adding the digits 1 & 0 in column 3 and get 2.

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

So, 4172 + 2080 = 6252.

