For the first equation, 24 + 35, the tens column would be 2 + 3 = 5 and the ones column would be 4 + 5 = 9. The sum would be 59. For the second equation, 17 + 44, the tens column would be 1 + 4 = 5 and the ones column would be 7 + 4 = 11. The sum would be 61.
In the first equation, 24 + 35, the tens column is obtained by adding the digits in the tens place: 2 + 3 equals 5. In the ones column, 4 + 5 equals 9. Therefore, the sum is 59. For the second equation, 17 + 44, the process is similar.
The tens column is found by adding 1 and 4, resulting in 5. In the ones column, 7 + 4 equals 11. However, since we are working in base-10, we carry over the extra digit to the tens column.
Consequently, the sum is 61. The carry-over occurs when the sum in the ones column is greater than or equal to 10, indicating a multiple of 10. This process ensures the accurate representation of numbers in the decimal system.