I can't see your pictures, and "brown and mushy' sounds real bad. If the roots have rotted, or there is rot in the plant above the soil line, the only hope of saving them may be by transecting the plant above the rot, letting the cut dry and callous for several days, then place on top of dry soil, and don't water until you are certain the plant has grown new roots.

I'm no expert, but I would recommend ditching the soil and the pot. Very, very carefully, remove your plants and break the soil up by hand, separating the roots from what is probably bad soil anyway.

I go to Lowes for gardening stuff since it's just down the street. You can get a generous sized bag of Cactus Soil for $5 (this is what you want--it's quick draining). Also pick up a few pots and saucers. Replant your poor guys in the nice, fresh soil after giving the roots a gentle wash.

Definitely remove the 'mushy' stuff if at all possible. Even after replanting it, that mushiness can spread! Think of it like gangrene. You're going to have to amputate ;)

(Jade plants are very resilient and aloes are pretty chill with abuse. I also have one of each! My Jade was $3 from Big Lots and I bet you couldn't find a more sorry set of plants anywhere else. But my Jade now thrives, as will yours!)

Oh, a quick note: Jade plants will become dark red around the edges of their leaves. This is normal and happens in response to light. But in the only picture I can see, there's what I suspect to be the leaf of your aloe. Definitely put that leaf, leaving no brown mushiness behind. People keep aloes around for burns and will cut pieces off to soothe their injuries. Aloes are pretty used to being cut up.