Preheat oven to 325°. Grease and flour two 9X5 loaf pans.
In a large bowl, whisk flours, salt, baking soda, baking powder, cinnamon and nutmeg.
In a separate large bowl, beat the bananas, eggs, oil, applesauce, brown sugar, sugar and vanilla.
Stir the flour mixture into the wet mixture, mixing until just barely combined.
Fold in the zucchini until evenly distributed throughout the batter.
Pour into the pans. Bake for 40-50 minutes or until toothpick comes out clean.
Cool in the pans for about 25 minutes before transferring to wire rack to cool completely.