Guess my number simple text game

guessMyNumber.py

import random

guessesTaken = 0

print("Hello what is your name?")
name = input()

number = random.randint(1,20)
print("Well",name,",I am thinking of a number between 1 and 20.")

while guessesTaken < 6:
    print("Take a guess")
    guess = input()
    guess = int(guess)

    guessesTaken = guessesTaken + 1

    if guess < number:
        print("your guess is to low")

    if guess > number:
        print("Your guess is to high")
    if guess == number:
        break

if guess == number:
    guessesTaken = str(guessesTaken)
    print("Good job",name,"You guessed my number in",guessesTaken,"guesses!")

if guess != number:
    number = str(number)
    print("Nope, the number I was thinking of was",number)