Angie bought some apples and Belle bought some oranges. Angie gave half of her apples to Belle and in return, Belle gave half of her oranges to Angie. Both girls ended up with 16 fruits each, and  had $$\frac{1}{3}$$ as many apples as oranges. <hr> Find the number of apples Angie bought and the number of oranges Belle bought. <br>Angie bought <input min="0" type="number" id="imp6pg071q5_1" class="lineinput" placeholder="?"> apples and Belle bought <input min="0" type="number" id="imp6pg071q5_2" class="lineinput" placeholder="?"> oranges.