Prompt Olivia to input an integer n, calculate, and display the sum of the last two digits.

Sure, here is a Python solution for your request:

# Step 1: Prompt Olivia to input an integer n
n = int(input("Olivia, please input an integer: "))

# Step 2: Convert the integer to a string to be able to access the digits
n_str = str(n)

# Step 3: Get the last two digits of the number
last_two_digits = n_str[-2:]

# Step 4: Calculate the sum of the last two digits
sum_of_last_two = int(last_two_digits[0]) + int(last_two_digits[1])

# Step 5: Display the sum of the last two digits
print("The sum of the last two digits is: ", sum_of_last_two)

This code will work for any integer input by Olivia. However, please note that if Olivia inputs an integer with less than two digits, the program will treat the single digit as the last two digits and double it.