You place five sparrows on one of the pans of a balance and six swallows on the other

Chapter 1, Problem 67

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You place five sparrows on one of the pans of a balance and six swallows on the other pan; it turns out that the sparrows are heavier. But if you exchange one sparrow and one swallow, the weights are exactly balanced. All the birds together weigh 1 jin. What is the weight of a sparrow and a swallow, respectively? [Give the answer in liang, with 1 jin = 16 liang.] (Nine Chapters, Chapter 8, 9)

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