Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE Student ( age INTEGER, StuID VARCHAR )
TABLE: CREATE TABLE Allergy_Type ( Allergy VARCHAR, allergytype VARCHAR )
TABLE: CREATE TABLE Has_allergy ( StuID VARCHAR, Allergy VARCHAR )

### Question ###
Find the average age of the students who have allergies with food and animal types.

### Accurate SQL ###

SELECT AVG(age) FROM Student WHERE StuID IN (SELECT T1.StuID FROM Has_allergy AS T1 JOIN Allergy_Type AS T2 ON T1.Allergy = T2.Allergy WHERE T2.allergytype = "food" INTERSECT SELECT T1.StuID FROM Has_allergy AS T1 JOIN Allergy_Type AS T2 ON T1.Allergy = T2.Allergy WHERE T2.allergytype = "animal")