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Re: How many of the numbers x, y, and z are positive if each of
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14 May 2012, 12:56
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Expert Reply
How many of the numbers x, y, and z are positive if each of these numbers is less than 10?
(1) x + y + z = 20. If even one of the number is not positive then the sum of the other two must be more than or equal to 20 in order the sum of all three to be 20, but since we are told that each number is less than 10 then it's not possible. Therefore all 3 numbers must be positive. Sufficient.
(2) x + y = 14. Clearly insufficient as no info about z.
Re: How many of the numbers x, y, and z are positive if each of
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20 May 2021, 11:38
Statement A: x+y+z=20 The maximum value of these numbers can be 9. Assume x=y=9. Hence, z will have to be 2. There is no way we can exceed sum of two vaiables by 20 and then have a third number negative to bring the sum to 20. Hence all three have to be positive. Sufficient
Statement B: x+y=14 Case 1: x=8, y=6 Possible Case 2: x=9 y=5 Possible Hence x and y have to be positive. But what about z. Nothing mentioned about z. So insufficient
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