positive numbers

[mehrasa]

How many of the numbers x, y, and z are positive? x, y, and z are all less than 30.
(1) x + y + z = 61
(2) x + y = 35

[badpoem]

How many of the numbers x, y, and z are positive? x, y, and z are all less than 30.
(1) x + y + z = 61
(2) x + y = 35

Statement 1.

If any of x, y or z is equal to zero, the other two have to be a min of 30.5 which goes against the fact that x, y, and z are all less than 30.
The condition holds true when x, y or z is negative. So all must be positive.

1 is sufficient.

Statement 2.

No data about z.

So, IMO (A).

[gmatclubmember]

A. looks sufficient.

[mankey]

Answer should be E.

What is the OA?

Thanks
Mankey

[Anurag@Gurome]

How many of the numbers x, y, and z are positive? x, y, and z are all less than 30.
(1) x + y + z = 61
(2) x + y = 35

(1)If we take any two of the numbers to be positive and one of them as negative, say, x = 29.99, y = 29.99, and z = -0.1, then x + y + z = 59.88, which clearly implies that the 3 numbers should be positive, only then we can have x + y + z = 61; SUFFICIENT.

(2) x + y = 35 does not clearly imply anything as we don't know about the value of z; NOT sufficient.

The correct answer is A.