Sun Tzu Suan Ching/Examples/Example 3

Example of Problem from Sun Tzu Suan Ching

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?


Solution

$60$ days.


Proof

The answer is found by:

$\map \lcm {4, 5, 3}$

$\blacksquare$


Sources

  • c. 280 -- 473: Sun Tzu: Sun Tzu Suan Ching
  • 1913: Yoshio Mikami: The Development of Mathematics in China and Japan
  • 1992: David Wells: Curious and Interesting Puzzles ... (previous) ... (next): Sun Tsu Suan Ching: $71$
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