There us no biblical correlation of the age of the earth and the age of man.
The earth, along with the rest of the universe, was created prior to day one. Man was created on day 6.
Then day one would lose its meaning as well as day 7, the day God rested from creation.
Notice that the sun and the moon and the stars were created on day 4.
Genesis 1:14 And God said, Let there be lights in the firmament of the heaven to divide the day from the night; and let them be for signs, and for seasons, and for days, and years: 15 And let them be for lights in the firmament of the heaven to give light upon the earth: and it was so. 16 And God made two great lights; the greater light to rule the day, and the lesser light to rule the night: he made the stars also. 17 And God set them in the firmament of the heaven to give light upon the earth, 18 And to rule over the day and over the night, and to divide the light from the darkness: and God saw that it was good. 19 And the evening and the morning were the fourth day.
That was when God created the heavens to give light on the earth to govern for times and seasons. So you have to read verse 1 as stating a topic of a paragraph as the following verses is going about how the event in that first verse had happened.
Genesis 1:1In the beginning God created the heaven and the earth.
Then at the onset, light came into the universe that is about to be created, starting with the earth.
Genesis 1:2 And the earth was without form, and void; and darkness was upon the face of the deep. And the Spirit of God moved upon the face of the waters. 3 And God said, Let there be light: and there was light. 4 And God saw the light, that it was good: and God divided the light from the darkness. 5 And God called the light Day, and the darkness he called Night. And the evening and the morning were the first day.
No other light was there in that universe that first day as that day was governed by an evening and morning that first day by that light where the earth wasn't even created yet.
The second day, God created a water planet, separating the water from the water.
The third day, the one land continent appeared on the water planet's surface and with it vegetations, bearing fruits and seeds already.
Each day was evening and morning by the light before the heavens were created to have celestial bodies give light to the earth that fourth day.
So there was nothing before the creation of light that first day which the earth was formed by the third day BEFORE the heavens were created to give their lights to the earth that fourth day.
Day one has meaning as does day 7 when God rested from His labor in creating the heavens and the earth of verse 1.