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# If w ≠ 0 and w = 2x = 2y , what is the value of w – x in terms of y ?

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Math Expert
Joined: 02 Sep 2009
Posts: 54376
If w ≠ 0 and w = 2x = 2y , what is the value of w – x in terms of y ?  [#permalink]

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09 Apr 2019, 22:54
00:00

Difficulty:

35% (medium)

Question Stats:

71% (01:09) correct 29% (01:26) wrong based on 13 sessions

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If w ≠ 0 and $$w = 2x = \sqrt{2y}$$ , what is the value of w – x in terms of y ?

(A) 2y

(B) $$\frac{\sqrt{2}y}{2}$$

(C) $$\sqrt{2y}$$

(D) $$\frac{4y}{\sqrt{2}}$$

(E) y

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Re: If w ≠ 0 and w = 2x = 2y , what is the value of w – x in terms of y ?  [#permalink]

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10 Apr 2019, 01:55
1
Bunuel wrote:
If w ≠ 0 and $$w = 2x = \sqrt{2y}$$ , what is the value of w – x in terms of y ?

(A) 2y

(B) $$\frac{\sqrt{2}y}{2}$$

(C) $$\sqrt{2y}$$

(D) $$\frac{4y}{\sqrt{2}}$$

(E) y

$$w = 2x = \sqrt{2y}$$
w-x= $$\frac{\sqrt{2}y}{2}$$

IMO B
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Joined: 15 Feb 2019
Posts: 13
Re: If w ≠ 0 and w = 2x = 2y , what is the value of w – x in terms of y ?  [#permalink]

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10 Apr 2019, 03:31
w=2x=√2y

w=2x
Therefore, w-x=2x-x=x
Now what is x,
2x=√2y

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Re: If w ≠ 0 and w = 2x = 2y , what is the value of w – x in terms of y ?   [#permalink] 10 Apr 2019, 03:31
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