Required Mathematical Intelligence

Chapter 11 Eggs
An old lady took a basket of eggs to the market to sell.He was knocked down by a cyclist on the road and all the eggs were broken.The rider helped the old lady up and said, "How many eggs did you bring? I will compensate you." The old lady said, "I don't know the total. When we picked eggs from the chicken coop, we picked five or five eggs. I picked up another one; yesterday my old man checked again, he counted by four, and in the end there was one more; I counted again this morning, and he counted by three, and there was one more.” The cyclist was After thinking about it in my mind, I lost the egg money according to the market price.How many eggs did the old lady bring in total?
[Answer: Many people feel overwhelmed with questions like this.Turning this problem into a math problem is: there is a number, no matter whether it is divided by 3, 4, or 5, the result will be 1. Find this number.It seems difficult, but if you put it another way, it is easy to understand: there is a number that can be divided by 1, 3, and 4 at the same time by subtracting 5.Obviously, any common multiple of 3, 4, and 5 plus 1 is the solution to this problem. The smallest solution is 61, and the next is 121, 181, and so on.The person carrying the basket in the question is an old lady, so it is impossible to have many eggs, so it can be considered as 61. ]
(End of this chapter)