# Problem solving of Ratios

**Number Theory**Level 2

Mr. Robert bought some apples and oranges. The ratio of the number of apples to the number of oranges that he bought was \(2 : 5\). He gave away \(\frac{3}{4}\) apples and \(34\) oranges to his neighbour. The new ratio of the number of apples to the number of oranges that he has now is \(2 : 3\). How many apples did Mr Robert buys?