The following problem first appeared in an Indian book written around 850 AD. Three merchants found...

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The following problem first appeared in an Indian book written around 850 AD. Three merchants found a purse along the way. One of them said, "If I secure this purse, I shall become twice as rich as both of you with your money on hand." Then the second said, "I shall become thrice as rich as both of you." The third man said, "I shall become five times as rich as both of you." How much did each merchant have, and how much was in the purse? The following problem first appeared in an Indian book written around 850 AD. Three merchants found a purse along the way. One of them said, "If I secure this purse, I shall become twice as rich as both of you with your money on hand." Then the second said, "I shall become thrice as rich as both of you." The third man said, "I shall become five times as rich as both of you." How much did each merchant have, and how much was in the purse?