"Guess the Number" game

[CTT]

So I chose the second solution to get rid of new_max and new_min. However, I don't really know after a low guess, I have minimum=guess, but how about the maximum in this case (I guess I'll keep the previous max but I don't know what to assign for max), and and vice versa for the high guess.
This is what I have now, thanks a lot!

 
import random

random.randint(1,99)
answer = int(input())
print("1<?<100")

while True:
   guess = int(input())
   if guess ==answer:
       print("bingo answer is",answer)
       break
   elif guess<answer:
       print("wrong answer, guess larger")
       minimum=guess
       print(minimum,"<?<",maximum)
   elif answer<guess:
       maximum=guess
       print("wrong answer, guess smaller")
       print(minimum,"<?<",maximum)