Question

In a basket, the ratio of the number of oranges to the number of apples is 7:13. If 8 oranges and 11 apples are eaten, then the ratio between the number of oranges and the number of apples becomes 1:2. Find the original number of oranges and apples in the basket.​

• A. 28, 52
• B. 35, 65
• C. 42, 78
• D. 49, 91

Answer 1

The correct option is B 35, 65

Let the orginal number of oranges and apple be 7x and 13x
According to the given information,
$\frac{7x-8}{13x-11}=\frac{1}{2}$
$14x-16=13x-11$
$14x-13x=16-11$
$x=5$
Thus, the orginal number of oranges and apples are $7\times 5=35$ and $13\times 5=65$ respectively.