Merge two JSON files with jq, adding integers

I have two JSON files of the form:

{"xFruits": {"views": 163,"all": {"xApples": {"views": 28,"eats": 10,"discards": 17            }        }    },"xVegetables": {"views": 134,"all": {"xBeans": {"views": 29,"eats": 11,"discards": 14            },"xCarrots": {"views": 30,"eats": 12,"discards": 11            },        }    },}

Keys starting with x change names and vary in number. The others are fixed. Most x keys exist in both files, but some may exist only in file 1 and others only in file 2.

I want to use jq to merge both files and add numbers when have the same path. So if this is the second file:

{"xFruits": {"views": 16,"all": {"xApples": {"views": 2,"eats": 2,"discards": 5            }        }    },"xVegetables": {"views": 147,"all": {"xBeans": {"views": 12,"eats": 7,"discards": 13            },"xSpinach": {"views": 30,"eats": 12,"discards": 11            },        }    },}

The the mix of both would result in:

{"xFruits": {"views": 179,"all": {"xApples": {"views": 30,"eats": 12,"discards": 22            }        }    },"xVegetables": {"views": 281,"all": {"xBeans": {"views": 41,"eats": 18,"discards": 27            },"xCarrots": {"views": 30,"eats": 12,"discards": 11            },"xSpinach": {"views": 30,"eats": 12,"discards": 11            },        }    },}

Note how xCarrots and xSpinach retained their original values because each only existed in one file, while all other values were added together.

Is this something jq is capable of?