if-else python program example

I just wrote a code for the if-else control statement,It is as follows:

y = input("Enter a number : ")
x = input("Enter another one: ")

if (x > y) and (x == 6):
  print(x)
else:
  print(y)

I inputed y = 3 and x = 6 , The answer I get is 6.

What could be my error?