Question 7
Satya has some number of apples and oranges. It is known that the total number of those fruits that he has initially is between $100$ to $300$ and the ratio between the number of apples to the number of oranges is $7:4$. Then, each day, he randomly eats two of them, but not necessarily of the same kind. On the $10$th day, after he eats two of them, the ratio becomes $8:5$. How many apples and oranges in total does Satya initially have?