Lets get into the details anyway. When I combined 14s lipo with 16s lifepo4, it was pretty awkward. They did start at about the same voltage, 58v.
But on the other end, I had to stop the lipo while there was still a fair bit of capacity in the lifepo4, or risk over discharging the lipo.
Running 36v, 10s and 12s for the lifepo4, you'd need to stop your discharge at about 3v per cell for the lifepo4. They will be able to start out the same voltage, provided your lifepo4 is at 3.5v per cell. So it will be like roll to the end of the driveway with just the lifepo4, then hook up.
In your case, I saw no pressing need to bother with combining them. When I was doing it, I was trying to eek just a few more cycles from a dying battery that could not run the bike by itself anymore. But I still wanted 5 ah more range, whatever it took to get it.