I'm not a professional astronomer, but I'm going to take a stab at this. If anyone sees any problems, feel free to correct them.
The Yarkovsky effect basically means that spinning asteroids over time will be pushed into a further orbit (more precisely, it increases the semimajor axis of the orbit) due to uneven heating and cooling.
Apparently to estimate the age of an asteroid family, using only the Yarkovsky effect, we would start out with this equation:
$$0.2H = log(Delta a / C)$$
This equation assumes a fixed geometric albedo for the whole family. $H$ here is the absolute magnitude. $Delta a$ is equal to $a - a_c$ where $a$ is the semimajor axis.
$$C = sqrt{p_v} (da/dt)_0 T cos epsilon$$
$p_v$ is the geometric albedo. $(da/dt)_0$ is the maximum Yarkovsky drift rate for a body of size $D_0$, where $D_0$ is an arbitrary reference size (we could use your provided $D$ value above). $T$ is the age of the family that we are trying to calculate. $epsilon$ is the spin axis obliquity.
Note: I've had to remove my example solution because I could not figure out how to correct my errors from accidentally putting $C$ outside the logarithm.
You can check out more details in my source below.
Source:
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