Okay, we are given 6674969597 and 1887718629. Let's add them up step by step.

Step 1: We'll start by adding the digits 7 & 9 in column 1 and get 16.
We'll write down the last digit 6 and carry the 1 to the next column.

Step 2: We'll start by adding the digits 9 & 2 in column 2 and get 12.
We'll write down the last digit 2 and carry the 1 to the next column.

Step 3: We'll start by adding the digits 5 & 6 in column 3 and get 12.
We'll write down the last digit 2 and carry the 1 to the next column.

Step 4: We'll start by adding the digits 9 & 8 in column 4 and get 18.
We'll write down the last digit 8 and carry the 1 to the next column.

Step 5: We'll start by adding the digits 6 & 1 in column 5 and get 8.

Step 6: We'll start by adding the digits 9 & 7 in column 6 and get 16.
We'll write down the last digit 6 and carry the 1 to the next column.

Step 7: We'll start by adding the digits 4 & 7 in column 7 and get 12.
We'll write down the last digit 2 and carry the 1 to the next column.

Step 8: We'll start by adding the digits 7 & 8 in column 8 and get 16.
We'll write down the last digit 6 and carry the 1 to the next column.

Step 9: We'll start by adding the digits 6 & 8 in column 9 and get 15.
We'll write down the last digit 5 and carry the 1 to the next column.

Step 10: We'll start by adding the digits 6 & 1 in column 10 and get 8.

So, 6674969597 + 1887718629 = 8562688226.

