The longer version contain the math used to calculate the results, to watch it click on the following link.
Lunar recession and the Age of the Earth
Measurements of the distance to moon made using retro-reflectors left on the moon by Apollo astronauts has shown the moon is receding from the Earth at 3.82 cm per year. Measurements using atomic clocks have shown that an day is Earth are getting longer at a rate of 1.7 milliseconds per day per century.
Now it turn out that these two phenomenons are related to each other by way of the tidal forces between the Earth and the Moon. It has been know for decades that when these figures are plugged into the laws of physics that they show that the Earth moon system can not be more than about1.25 billion years old.
Such calculations are largely dismissed by those claiming that the Earth is 4.5 billion years old. They also point to paleontological data as evidence that the moon is receding and it is receding at a rate compatible with 4.5 billion years. These claims not only ignore alternative interpretations of the fossils and rocks in question but they usually use only one or two data points when multiple data point are used the scattering in the data is not what would be expected if it were really a result of the slowing of the Earth rotation.
It also turns out that when any model using a 4.5 billion year old earth-moon system is plugged into the same laws of physic they never produce the current Earth-Moon system with out significant tweaking and then the always come in below the paleontological data. This includes the currently accepted “Giant Collision Hypothesis of the Origin of the Moon.”
Furthermore when the same paleontological data is plugged into the same laws of physics it produces a maximum age for the Earth-moon system of about 2.067 billion years. Tweaking this model to make it reach 4.5 billion years requires putting an impossibly small delay time in high tide of less than 24 seconds.
There is simply no way of reconciling a 4.5 billion year old Earth-moon system with the laws of physics and the paleontological data claimed as evidence for the same. They simply do not and can not be made to match up. All of this makes a very strong case that earth-moon system can not be 4.5 billion years old.