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What is the value of y? (1) |2y − 6| = y (2) |y − 4| = 2

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Joined: 02 Sep 2009
Posts: 50623
What is the value of y? (1) |2y − 6| = y (2) |y − 4| = 2  [#permalink]

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18 Jul 2018, 23:16
00:00

Difficulty:

25% (medium)

Question Stats:

75% (01:11) correct 25% (01:22) wrong based on 51 sessions

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What is the value of y?

(1) |2y − 6| = y

(2) |y − 4| = 2

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Re: What is the value of y? (1) |2y − 6| = y (2) |y − 4| = 2  [#permalink]

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18 Jul 2018, 23:24
To find the value of y

Statement 1

|2y-6| = y

=> either 2y-6 = y or 2y-6 = -y

=> either y = 6 or y = 2

Statement 1 is insufficient

Statement 2

|y-4| = 2

=> either y-4 = 2 or y-4 = -2

=> either y = 6 or y = 2

Statement 2 is insufficient

Combining statements 1 and 2

We still have y is either 2 or 6

Hence option E
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Re: What is the value of y? (1) |2y − 6| = y (2) |y − 4| = 2  [#permalink]

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19 Jul 2018, 01:31
Bunuel wrote:
What is the value of y?

(1) |2y − 6| = y
On solving, y = 2, 6
Insufficient

(2) |y − 4| = 2
On solving, y = 2, 6
Insufficient

Combining 1) and 2)
y = 2, 6 (still not a unique value)
Insufficient

Hence, E.
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Re: What is the value of y? (1) |2y − 6| = y (2) |y − 4| = 2 &nbs [#permalink] 19 Jul 2018, 01:31
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