Modern Science is not the best judge of Modern Science.
RESULTS will always outrank theories. Remember the "Flat Earth" fiasco? "The Earth is flat" was the "Scientific Theory" of its day. AND it was protected by the church because most of the Elite Teachers were either priests or members of a clergy, and the clergy were doing most of the teaching at that time.
Galileo (17th century) was one who denied the "FLAT EARTH" scientific fact, and was tried by inquisition, placed under house arrest for life, and his books were withdrawn from public access.
After a few centuries of research and conscience checking, Science relented, and decided it was wrong. Galileo's books were released for public perusal (20th century?).
As for dating the origin of Man, begin "At the beginning." THAT involved several "DAYS" that could have been any length of time necessary for the creation of galaxies, suns, planets, moons, tidal surges of gravity, Echoes of time fluctuations, and a host of other anomalies not well known to this day.
The first three days of creation could NOT have been 24 hours, and there is no real necessity for claiming it was, other than religious stubbornness caused by ignorance. I know of at least one college instructor who was fired from his job for suggesting the creation was not all 24 hour days. He taught at Florida College in temple terrace, Tampa Florida.
If the sun, by which the day is "timed" was not created until the 4th day, and the entire creation only took six days, that means the first two-thirds of time for creation was comprised of days NOT 24 hours of duration.
And, since God is God by Nature, there is no real disagreement between God and Nature, there is only God and nature vs. the ignorance of foolish men.
And how do we know God is "God by nature?"
Gal 4:8 "Howbeit then, when ye knew not God, ye did service unto them which by nature are no gods."
If God is not "God by nature," why does He find fault with those who are not "Gods by nature?"
And why would God use nature for a teaching tool? "Go to the ant thou sluggard, consider her ways and be wise;" "Doth not nature teach you..." etc.
Why would He suggest our faith relies upon the nature of "Things not seen" if He Himself is unnatural?
And who decided the first four days were comprised of 24 hours of time? "Flat Earth" Priest-Scientists?