#include <iostream>
using namespace std;
int main()
{
    //I'm declaring some variables.
    int number1, number2, product, sum;
    cout << "Please enter an integar (whole number): \n";
    cin >> number1;
    cout << "Please enter a another integar: \n";
    cin >> number2;
    //Computing the numbers.
    product = number1 * number2;
    sum = number1 + number2;   
    //This will reveal the final computations.
    cout << "The sum of " << number1 << " and " << number2 << " equals: " << sum << "\n";
    cout << "The product of " << number1 << " and " << number2 << " equals: " << product << "\n";
    cin >> sum >> product;
    cin.ignore();
    return 0;
}

cin >> sum >> product;

The problem is, when/if I remove that code, the program won't execute.

cin.get();
return 0;