【例2】古希腊数学家丢番图的墓志铭是一个有趣的数学问题:过路人!这儿掩埋着丢番图,他生命的六分之一是童年;再过了一生的十二分之一后,他开始长胡须;又过了一生的七分之一后他结了婚;婚后五年他有了儿子,但可惜儿子的寿命只有父亲的一半;儿子死后,老人再活了四年就结束了余生。根据这个墓志铭,请计算出丢番图的寿命。【宏观分析】这个题目的传统解法大家都是非常熟悉的,和我们下面的解法相: Example 2 The epithet of the Diophantine figure of the ancient Greek mathematician is an interesting mathematical question: Passers-by! There is a Diophantine figure buried here, one sixth of his life is childhood, and a second of a lifetime He started a long beard after one, and married after a seventh of his life. He had a son five years after his marriage, but it was a pity that his son’s life span was only half that of his father. After the death of his son, the old man lived again Four years ended the rest of my life. According to this epitaph, please calculate the life expectancy of the Diotome. 【Macro Analysis】 The traditional solution to this problem is very familiar to all of us, and we have the following solution: