Sun Tzu Suan Ching/Examples
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Examples of Problems from Sun Tzu Suan Ching
- A woman was washing dishes in a river, when an official whose business was overseeing the waters demanded of her:
- "Why are there so many dishes here?"
- "Because a feasting was entertained in the house," the woman replied.
- Thereuon the official enquired the number of guests.
- "I don't know," the woman said, "how many guests there had been;
- but every $2$ used a dish for rice between them;
- every $3$ a dish for broth;
- every $4$ a dish for meat;
- and there were $65$ dishes in all."
- There are certain things whose number is unknown.
- Repeatedly divided by $3$, the remainder is $2$;
- by $5$ the remainder is $3$,
- and by $7$ the remainder is $2$.
- What will be the number?
- There are $3$ sisters, of whom the eldest comes home once every $5$ days,
- the middle every $4$ days,
- and the youngest in every $3$ days.
- In how many days will all the $3$ meet together?