A box contains oranges and apples in the ratio 7 11

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

Let the original number of oranges and apples be 7x and 13x.

According to the given information,

`(7x - 8)/(13x - 11) = 1/2`

14x - 16 = 13x - 11

x = 5

Thus the original number of oranges and apples are  7 x 5 = 35 and  13 x 5 = 65 respectively

Concept: Concept of Ratio

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

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