# Pythagoras in trouble

**Number Theory**Level 1

Suppose x, y and z are co-prime positive integers satisfying the Pythagoras theorem, x^2 +y^2 = z^2

Now, what can we say about the nature of x and y?

- Both x and y are even
- Both x and y are odd
- x and y are either both odd or both even
- Only one of x and y can be even,
- There is no such constraint, x and y can be any numbers at a time

Put the correct option number in the answer. Please share your solutions, because here, the method, rather than the answer is the most important thing.