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# To halve the value of the expression above by doubling exactly one of

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To halve the value of the expression above by doubling exactly one of  [#permalink]

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01 Jun 2017, 12:52
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Difficulty:

5% (low)

Question Stats:

98% (00:57) correct 2% (00:52) wrong based on 80 sessions

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$$\frac{v + w}{(\frac{x}{yz})}$$

To halve the value of the expression above by doubling exactly one of the variables, one must double which of the following variables?

(A) v
(B) w
(C) x
(D) y
(E) z

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Re: To halve the value of the expression above by doubling exactly one of  [#permalink]

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01 Jun 2017, 13:04
We are given the expression $$\frac{v + w}{(\frac{x}{yz})}$$

Since we have to halve the value of this expression by doubling
exactly one of the variables, we must double the value of x.

By doing this, the expression becomes $$\frac{v + w}{(\frac{2x}{yz})}$$
This is nothing but $$\frac{1}{2}$$*$$\frac{v + w}{(\frac{x}{yz})}$$(Option C)
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Re: To halve the value of the expression above by doubling exactly one of  [#permalink]

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01 Jun 2017, 14:48
To halve any expression, we can just double the denominator in the expression. In this case the denominator is $$\frac{x}{yz}$$

To double any expression, the numerator can be multiplied by 2 which is "x" in this case.

Hence we can just double the variable "x" (numerator in the denominator) so option C
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Re: To halve the value of the expression above by doubling exactly one of  [#permalink]

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01 Jun 2017, 23:06
(v+w)/(x/yz) can be written as:

(v+w)*(yz)/x . Only variable in the denominator is x. if we double that, the expression will become half.
So we need to double x.

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Re: To halve the value of the expression above by doubling exactly one of  [#permalink]

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04 Jun 2017, 11:33
We have

$$\frac{v+w}{1} * \frac{yz}{x}$$ => $$\frac{yz (v+w)}{x /2}$$ =>$$\frac{2yz(v+w)}{x}$$

The correct answer is Option C .

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Re: To halve the value of the expression above by doubling exactly one of  [#permalink]

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04 Jun 2017, 11:37
pushpitkc wrote:
We are given the expression $$\frac{v + w}{(\frac{x}{yz})}$$

Since we have to halve the value of this expression by doubling
exactly one of the variables, we must double the value of x.

By doing this, the expression becomes $$\frac{v + w}{(\frac{2x}{yz})}$$
This is nothing but $$\frac{1}{2}$$*$$\frac{v + w}{(\frac{x}{yz})}$$(Option C)

it is X. a simple question
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Re: To halve the value of the expression above by doubling exactly one of  [#permalink]

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04 Jun 2017, 12:28
Rearrange formula to be

((v+w)*yz)/x

Therefore double x
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Re: To halve the value of the expression above by doubling exactly one of  [#permalink]

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05 Jun 2017, 14:49
Bunuel wrote:
$$\frac{v + w}{(\frac{x}{yz})}$$

To halve the value of the expression above by doubling exactly one of the variables, one must double which of the following variables?

(A) v
(B) w
(C) x
(D) y
(E) z

Observe that (v + w)/(x/yz) = (yz(v + w))/x. We note that if the denominator of a fraction is doubled, then the fraction itself is halved. Thus, we must double x in order to halve the given expression.

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Re: To halve the value of the expression above by doubling exactly one of  [#permalink]

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08 Jul 2018, 04:42
Very well explained!
workout wrote:
To halve any expression, we can just double the denominator in the expression. In this case the denominator is $$\frac{x}{yz}$$

To double any expression, the numerator can be multiplied by 2 which is "x" in this case.

Hence we can just double the variable "x" (numerator in the denominator) so option C

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Re: To halve the value of the expression above by doubling exactly one of &nbs [#permalink] 08 Jul 2018, 04:42
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