Getting Q as input
Quit = int(input('Press Q to Quit')
You're asking for Q as the input, but only accepting an int. So take off the int part:
Quit = input('Press Q to Quit')
Now Quit will be whatever the user typed in, so let's check for "Q" instead of True:
if Quit == "Q":
Instead of sys.exit(0), you can probably just end your while look with break or just return if you're in a function.
Also, I don't recommend the name "Quit" for a variable that just stores user input, since it will end up confusing.
And remember that indentation is important in Python, so it needs to be:
if run == False:
    choice = input('Press Q to Quit')
    if choice == "Q":
        # break or return or..
        import sys
        sys.exit(0)
That may just be a copy/paste error though.
Indentation and Syntax
I fixed the indentation and removed some extraneous code (since you duplicate the outer loop and some of the print statements) and got this:
print('How old do you thing Fred the Chicken is?')
number = 17
run = True
while run:
    guess = int(input('Enter What You Think His Age Is....t'))
    if guess == number:
        print('Yes :D That is his age...')
        run = False
    elif guess < number:
        print('No, Guess a little higher...')
    elif guess > number:
        print('No, Guess a little lower....')
    if run == False:
        print('Game Over')
        choice = input('Press Q to Quit')
        if choice == 'q'
            break
This gave me a syntax error:
blong@ubuntu:~$ python3 chicken.py
    File "chicken.py", line 23
      if choice == 'q'
                     ^
  SyntaxError: invalid syntax
So Python is saying there's something wrong after the if statement. If you look at the other if statements, you'll notice that this one is missing the : at the end, so change it to:
if choice == 'q':
So with that change the program runs, and seems to do what you want.
Some suggestions
Your instructions say "Press Q to Quit", but you actually only accept "q" to quit. You may want to accept both. Python has an operator called or, which takes two truth values (True or False) and returns True if either of them is True (it actually does more than this with values besides True and False, see the documentation if you're interested).
Examples:
>> True or True
True
>>> True or False
True
>>> False or True
True
>>> False or False
False
So we can ask for Q or q with if choice == "Q" or choice == "q":.
Another option is to convert the string to lower case and only check for q, using if choice.lower() == "q":. If choice was Q, it would first convert it to q (with the .lower()), then do the comparison.
 
Your number is always 17. Python has a function called random.randint() that will give you a random number, which might make the game more fun. For example, this would make the chicken's age between 5 and 20 (inclusive):
number = random.randint(5, 20)