Alright, let's solve this problem step by step. We have 4597599330 and 9599965723 and we're adding them together.

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

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

Step 3: We'll start by adding the digits 3 & 7 in column 3 and get 10.
We'll write down the last digit 0 and carry the 1 to the next column.

Step 4: We'll start by adding the digits 9 & 5 in column 4 and get 15.
We'll write down the last digit 5 and carry the 1 to the next column.

Step 5: We'll start by adding the digits 9 & 6 in column 5 and get 16.
We'll write down the last digit 6 and carry the 1 to the next column.

Step 6: We'll start by adding the digits 5 & 9 in column 6 and get 15.
We'll write down the last digit 5 and carry the 1 to the next column.

Step 7: We'll start by adding the digits 7 & 9 in column 7 and get 17.
We'll write down the last digit 7 and carry the 1 to the next column.

Step 8: We'll start by adding the digits 9 & 9 in column 8 and get 19.
We'll write down the last digit 9 and carry the 1 to the next column.

Step 9: We'll start by adding the digits 5 & 5 in column 9 and get 11.
We'll write down the last digit 1 and carry the 1 to the next column.

Step 10: We'll start by adding the digits 4 & 9 in column 10 and get 14.
We'll write down the last digit 4 and carry the 1 to the next column.

So, 4597599330 + 9599965723 = 14197565053.

