Current location - Training Enrollment Network - Mathematics courses - (Ancient Title) The tombstone of the Greek mathematician Di Fan (3rd-4th century A.D.) recorded: "One sixth of his life was a happy childhood. He survived again.
(Ancient Title) The tombstone of the Greek mathematician Di Fan (3rd-4th century A.D.) recorded: "One sixth of his life was a happy childhood. He survived again.
It means: in Diophantu's life, his childhood accounted for 1/6, his youth accounted for112, he spent 1/7 on marriage, gave birth to a child five years later, and his father died four years later, and his life span was half that of his father. This is equivalent to the equation X/6+X/ 12+X/7+5+X/2+4 = X, X = 84, from which we can see that Diophantine died at the age of 84.

Solution: Let the life of Diophantine be x years, and get

1 \ 6x+ 1 \ 12x+ 1 \ 7x+5+ 1 \ 2x+4 = x

25\28x-x=-4-5

-3\28x=-9

x=84