Preheat your oven to 350°F (175°C).
In a large mixing bowl, combine the mashed bananas, pumpkin puree, and vegetable oil.
Add brown sugar, eggs, and vanilla extract; mix until smooth.
In another bowl, whisk together flour, baking soda, baking powder, cinnamon, nutmeg, and salt.
Gradually add the dry ingredients to the wet mixture, stirring gently until just combined.
Pour the batter into a greased 9x5-inch loaf pan.
Bake for 60 minutes or until a toothpick inserted in the center comes out clean.
Let the bread cool in the pan for 10 minutes, then transfer to a wire rack.
Allow to cool completely before slicing.
Enjoy your delicious pumpkin banana bread!