Classic Carrot Cake With Cream Cheese Icing

Name: Classic Carrot Cake With Cream Cheese Icing
Prep time: 30 min
Cook time: 40 min
Total time: 1 h 10 min
Cuisine: American
Ingredients: 4 eggs; 3/4 cup white sugar; 3/4 cup brown sugar; 1/2 cup sour cream; 1/2 teaspoon baking soda; 3 cups grated carrots; 1/2 cup butter, softened; 1/3 cup oil; 1 1/2 cups chopped nuts; 1 1/4 cups whole wheat flour; 1 1/4 cups all-purpose flour; 1/4 teaspoon salt; 2 teaspoons baking powder; 2 (8-ounce) packages cream cheese, softened; 3 cups confectioner's sugar, sifted; 1 1/2 teaspoons vanilla extract; 1 teaspoon rum; 1/3 cup heavy whipping cream; 1 teaspoon cornstarch (optional)