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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.​

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Solution

Let the orginal number of oranges and apple be 7x and 13x
According to the given information,
7x813x11=12
14x16=13x11
14x13x=1611
x=5
Thus, the orginal number of oranges and apples are 7×5=35 and 13×5=65 respectively.

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