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What must be added to (x + y)/2 to obtain (x - y)/2? A. y B. x C. 2

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Carcass
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What must be added to (x + y)/2 to obtain (x - y)/2? A. y B. x C. 2 [#permalink] New post   24 May 2022, 16:08
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What must be added to \(\frac{x + y}{2}\) to obtain \(\frac{x - y}{2}\)?
A. –y
B. –x
C. 2y
D. 2x
E. y – x


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A
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alsafaj
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Re: What must be added to (x + y)/2 to obtain (x - y)/2? A. y B. x C. 2 [#permalink] New post   25 May 2022, 03:07
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(x+y)/2 + (N) = (x-y)/2

N = (x-y)/2 - (x+y)/2 OR -2y/2 OR -y

Answer is (A)
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Re: What must be added to (x + y)/2 to obtain (x - y)/2? A. y B. x C. 2 [#permalink] New post   25 May 2022, 05:26
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Carcass wrote:
What must be added to \(\frac{x + y}{2}\) to obtain \(\frac{x - y}{2}\)?
A. –y
B. –x
C. 2y
D. 2x
E. y – x


TIP: If the wording of a question is confusing, and you're not sure what mathematical operation is required, ask yourself an easier question.
For example, for this question, we might ask "What must be added to 2 to obtain 5?"
The answer to this easier question = 5 - 2

This means the answer to the original question \(= \frac{x - y}{2} - \frac{x + y}{2}\)

\(= \frac{(x - y) - (x + y) }{2}\)

\(= \frac{-2y}{2}\)

\(= -y\)

Answer: A
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Re: What must be added to (x + y)/2 to obtain (x - y)/2? A. y B. x C. 2 [#permalink]
25 May 2022, 05:26
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