"The patriarchs from Adam to Noah, with but few exceptions, lived nearly a thousand years. Since the days of Noah, the length of life has been tapering. Those suffering with disease were brought to Christ for him to heal, from every town, city, and village; for they were afflicted with all manner of diseases. And disease has been steadily on the increase through successive generations since that period. Because of the continued violation of the laws of life, mortality has increased to a fearful extent. CE 10.1"
"And all the days that Adam lived were nine hundred and thirty years: and he died."
EGW directly references the long lifespans of the patriarchs, specifically mentioning Adam and Noah, and alluding to the information found in Genesis 5.
"Disease has been transmitted from parents to children from generation to generation. Infants in their cradle are miserably afflicted because of the sins of their parents, which have lessened their vital force. Their wrong habits of eating and dressing, and their general dissipation, are transmitted as an inheritance to their children. Many are born insane, deformed, blind, deaf, and a very large class deficient in intellect. The strange absence of principle which characterizes this generation, in disregarding the laws of life and health, is astonishing. Ignorance prevails upon this subject, while light is shining all around them. With the majority, their principal anxiety is, What shall I eat? what shall I drink? and wherewithal shall I be clothed? Notwithstanding all that is said and written in regard to how we should treat our bodies, appetite is the great law which governs men and women generally. CE 10.2"
"Thou shalt not bow down thyself to them, nor serve them: for I the Lord thy God am a jealous God, visiting the iniquity of the fathers upon the children unto the third and fourth generation of them that hate me;"
Both passages discuss the transmission of consequences (iniquity/disease) from parents to children. While Exodus 20:5 refers to spiritual consequences, EGW applies this principle to physical and mental health.