Answer:
Sure, here's a simple Python program that reads 10 numbers and calculates the sum of the even numbers among them:
```python
# Initialize a variable to store the sum
sum_of_even_numbers = 0
# Read 10 numbers from the user
for i in range(10):
number = int(input("Enter a number: "))
# Check if the number is even
if number % 2 == 0:
sum_of_even_numbers += number
# Print the sum of even numbers
print("Sum of even numbers:", sum_of_even_numbers)
```
You can run this program, and it will prompt you to enter 10 numbers. After you've entered all the numbers, it will calculate and display the sum of the even numbers among them.