Origin: the fourth and fifth centuries? The author of Sunzi Suanjing is unknown.
Today, there are unknown things. There are two left in three, three left in five, and two left in seven and seven. What is the geometry of things? Answer: Twenty-three
At present, a thing doesn't know its quantity. It leaves two for every three numbers, three for every five numbers and two for every seven numbers. What's this number? A: Twenty-three.
Analysis: where 70 is the number 1 divided by 3 in the common multiple of 5 and 7; 2 1 is the number of 1 divided by 5 in the common multiple of 3 and 7; 15 is the common multiple of 3 and 5 obtained by dividing the number 1 by 7. 105 is the least common multiple of 3, 5 and 7. If the number is large, you can subtract 105 continuously. Accordingly, the above problems can be expressed as: 70× 2+21× 3+15× 2 = 233,233-105 = 23.
Extended data:
Working background:
Sunzi Suanjing is an important mathematical work in ancient China. It was written in the fourth and fifth centuries, that is, about 1500 years ago. The author's life and writing year are unknown. Sun Tzu's Art of War was handed down in three volumes. The volume describes the system of vertical and horizontal alternation and multiplication and division, and illustrates the algorithm of calculating scores and the method of calculating Kaiping with examples.
Impact of the algorithm:
Sun Tzu's Theorem is a method to solve a linear congruence group in ancient China. Is an important theorem in number theory. Also known as China's remainder theorem. The problem of unitary linear congruence equations can be found in the 26th problem in Sun Tzu's Mathematic Classic in China's Southern and Northern Dynasties (5th century AD).
Baidu encyclopedia-sun Tzu's art of war