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What is the median of 12, y, and x? 1) x+y=24 2) y=6

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What is the median of 12, y, and x? 1) x+y=24 2) y=6 [#permalink]

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What is the median of 12, y, and x?

1) x+y=24
2) y=6
[Reveal] Spoiler: OA

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Re: What is the median of 12, y, and x? 1) x+y=24 2) y=6 [#permalink]

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New post 24 Aug 2017, 01:39
First statement: x + y = 24.
case1: let x=11 then y = 13 and the median of the three numbers would be 12.
case2: let x=12.5 then y = 11.5 and the median of the three numbers would be 12.
In any such case, the median of the three numbers would be 12. ->Sufficient.

Second statement: y=6.
No knowledge of the value of x. - > Not sufficient.

Answer: A

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Re: What is the median of 12, y, and x? 1) x+y=24 2) y=6 [#permalink]

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New post 27 Aug 2017, 19:07
=> Condition 1)
If x = y = 12, then the median of them is 12.
If x < y, then the median of them 12, since x < 12 < y.
If x > y, then the median of them 12, since y < 12 < x.
This is sufficient.

Condition 2)
Since we don’t know x, we don’t identify their median.
This is not sufficient.

Ans: A
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Re: What is the median of 12, y, and x? 1) x+y=24 2) y=6   [#permalink] 27 Aug 2017, 19:07
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