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If x + y + z = 6, then do any two of the three numbers x, y, and z sum [#permalink]
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30 Jul 2015, 10:49
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If x + y + z = 6, then do any two of the three numbers x, y, and z sum to 3? (1) x, y, and z are three different positive integers. (2) x, y, and z are consecutive integers.
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Re: If x + y + z = 6, then do any two of the three numbers x, y, and z sum [#permalink]
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30 Jul 2015, 10:58
Bunuel wrote: If x + y + z = 6, then do any two of the three numbers x, y, and z sum to 3?
(1) x, y, and z are three different positive integers. (2) x, y, and z are consecutive integers. Given : x + y + z = 6Question : Do any two of the three Number sum up to 3?Statement 1: x, y, and z are three different positive integers.sum of any three different Integer will be 6 only when numbers are 1, 2 and 3 i.e. Sum of Two of those three will definitely be 1+2 = 3 SUFFICIENTStatement 2: x, y, and z are consecutive integers.sum of any three Consecutive Integer will be 6 only when numbers are 1, 2 and 3 i.e. Sum of Two of those three will definitely be 1+2 = 3 SUFFICIENTAnswer: option D
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Re: If x + y + z = 6, then do any two of the three numbers x, y, and z sum [#permalink]
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31 Jul 2015, 01:28
Bunuel wrote: If x + y + z = 6, then do any two of the three numbers x, y, and z sum to 3?
(1) x, y, and z are three different positive integers. (2) x, y, and z are consecutive integers. IMO : D Statement 1 : x, y, and z are three different positive integers.Minimum value of sum of 3 different positive integers = 1+2+3 =6 Thus, only one solution set we can have for the given condition. Hence suffStatement 2: x, y, and z are consecutive integers.So Let x = a , y = a+1 , z = a+2 (consecutive integers) Now x + y + z = 6 is the given condition. Sub values (a)+(a+1)+(a+2) = 6 a=1 Thus x=1, y=2, z=3 Hence suff
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Re: If x + y + z = 6, then do any two of the three numbers x, y, and z sum [#permalink]
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31 Jul 2015, 02:12
Stmt 1: ENOUGH because 1,2,3 are the only three pos integers that sum upto 6 since they are the least 3 pos integers. Thus, 1+2 = 3 Stmt 2: ENOUGH because among all integers, 1,2,3 are the only 3 consecutive integers that sum up to 6. Thus, 1+2 = 3
Ans. = D



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Re: If x + y + z = 6, then do any two of the three numbers x, y, and z sum [#permalink]
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31 Jul 2015, 02:48
Bunuel wrote: If x + y + z = 6, then do any two of the three numbers x, y, and z sum to 3?
(1) x, y, and z are three different positive integers. (2) x, y, and z are consecutive integers. Statement 1: for x + y + z = 6 and given that x, y, z are distinct integers, x, y, z must be 1, 2, 3 in order to equal to 6. The answer is always yes (x+y=3) > S Statement 2: for x + y + z = 6 only 1, 2, 3 distinct integers amount to 6. The answer is always yes (x+y=3) > S Answer D
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Re: If x + y + z = 6, then do any two of the three numbers x, y, and z sum [#permalink]
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03 Aug 2015, 07:45
If x + y + z = 6, then do any two of the three numbers x, y, and z sum to 3?
(1) x, y, and z are three different positive integers.The only three positive integers than can add to 6 are 1, 2, and 3. 1 and 2 sum to 3. Sufficient (2) x, y, and z are consecutive integers. The only consecutive integers that add to 6 are 1, 2, and 3. 1 and 2 sum to 3. Sufficient
D



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Re: If x + y + z = 6, then do any two of the three numbers x, y, and z sum [#permalink]
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04 Aug 2015, 05:28
If x + y + z = 6, then do any two of the three numbers x, y, and z sum to 3?
(1) x, y, and z are three different positive integers. (2) x, y, and z are consecutive integers.
Given : x + y + z = 6
Question : Do any two of the three Number sum up to 3?
Statement 1: x, y, and z are three different positive integers. sum of any three different Integer will be 6 only when numbers are 1, 2 and 3 i.e. Sum of Two of those three will definitely be 1+2 = 3 SUFFICIENT
Statement 2: x, y, and z are consecutive integers. sum of any three Consecutive Integer will be 6 only when numbers are 1, 2 and 3 i.e. Sum of Two of those three will definitely be 1+2 = 3 SUFFICIENT
Answer: option D
Let me know where i am wrong Question mention that do any two of the three numbers x, y, and z sum to 3?
therefore if i take x=1 , y=2 then x+y = 3 Yes
but if take x=1 , z=3 , then x+z =4 no
Not sufficient
because it is mention ANY TWO
The same applicable for the statement 2 also .



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Re: If x + y + z = 6, then do any two of the three numbers x, y, and z sum [#permalink]
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04 Aug 2015, 05:41
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vijayshree wrote:
Let me know where i am wrong Question mention that do any two of the three numbers x, y, and z sum to 3?
therefore if i take x=1 , y=2 then x+y = 3 Yes
but if take x=1 , z=3 , then x+z =4 no
Not sufficient
because it is mention ANY TWO
The same applicable for the statement 2 also . You are misinterpreting the question wording. The question is asking whether you will get a combination of 2 numbers that will give you 3 when added and when they satisfy : x+y+z = 6. When you take x=1, z =3, y = 2 and then x+y =3. So you do have 1 combination that will give you 3. Thus this statement is sufficient. The statement will be sufficient as soon as you get 1 combination that satisfies x1+x2 =3 and x1+x2+x3 =6. Hope this helps.



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Re: If x + y + z = 6, then do any two of the three numbers x, y, and z sum [#permalink]
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05 Aug 2015, 23:58
Bunuel wrote: If x + y + z = 6, then do any two of the three numbers x, y, and z sum to 3?
(1) x, y, and z are three different positive integers. (2) x, y, and z are consecutive integers. Ans: D Solution: given x+y+z=6 1) x,y, and z are different positive integers means x,y, and z belong to the group (1,2,3,4,5,6) since they are distinct only possible values for them is 1,2,3 and it ans the question [Sufficient] 2) consecutive integers.. so they can only have 1,2,and 3 as their values. [Sufficient] Ans: D each statement alone is sufficient to ans the question.
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Re: If x + y + z = 6, then do any two of the three numbers x, y, and z sum [#permalink]
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22 Jun 2017, 14:31
x + y + z = 6Do any two of the three numbers x, y, and z sum to 3? (1) x, y, and z are three different positive integers.If, x, y and Z are three DIFFERENT positive integers and their sum is 6 as per given information, there are only three possible choices of numbers. 3,2 & 1  And as we can see that the sum of two of these numbers (2 & 1) can definitely be 3. Hence =====> (1) is SUFFICIENT(2) x, y, and z are consecutive integers.If x,y & X are CONSECUTIVE integers, and their sum is 6 as per given information, there are again only three possible choices of numbers. 3,2 & 1  And as we can see that the sum of two of these numbers (2 & 1) can definitely be 3. Hence =====> (2) is SUFFICIENTHence, Answer is D
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Re: If x + y + z = 6, then do any two of the three numbers x, y, and z sum [#permalink]
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28 Mar 2018, 01:22
Take in mind that 0 is an even integer but ... neither positive, nor negative.
This will help




Re: If x + y + z = 6, then do any two of the three numbers x, y, and z sum
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