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# What is the value of r/2 + s/2 ?

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Math Expert
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What is the value of r/2 + s/2 ?  [#permalink]

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24 Dec 2013, 03:45
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Difficulty:

5% (low)

Question Stats:

92% (00:30) correct 8% (00:36) wrong based on 1001 sessions

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

What is the value of r/2 + s/2 ?

(1) (r + s)/2 = 5
(2) r + s= 10

Data Sufficiency
Question: 2
Category: Arithmetic Operations with rational numbers
Page: 153
Difficulty: 550

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Re: What is the value of r/2 + s/2 ?  [#permalink]

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24 Dec 2013, 03:45
SOLUTION

What is the value of r/2 + s/2 ?

$$\frac{r}{2}+ \frac{s}{2}=\frac{r + s}{2}$$

(1) (r + s)/2 = 5 --> directly answers the question. Sufficient.

(2) r + s= 10 --> $$\frac{r + s}{2}=\frac{10}{2}=5$$. Sufficient.

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Re: What is the value of r/2 + s/2 ?  [#permalink]

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25 Dec 2013, 10:46
The question can be rephrased as (r+s)/2, since the denominator is the same. So, ultimately we need to find out either r and s individually or (r+s) as a value.
This can be arrived without looking at the statements.
Statement 1 and Statement 2 both give the value of (r+s) alone. So, answer is D.
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Re: What is the value of r/2 + s/2 ?  [#permalink]

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30 Dec 2013, 04:37
What is the value of r/2 + s/2 ?

$$\frac{r}{2}+ \frac{s}{2}=\frac{r + s}{2}$$

(1) (r + s)/2 = 5 --> directly answers the question. Sufficient.

(2) r + s= 10 --> $$\frac{r + s}{2}=\frac{10}{2}=5$$. Sufficient.

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Re: What is the value of r/2 + s/2 ?  [#permalink]

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22 Jul 2016, 11:25
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Top Contributor
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

What is the value of r/2 + s/2 ?

(1) (r + s)/2 = 5
(2) r + s = 10

Target question: What is the value of r/2 + s/2?
This is a great candidate for REPHRASING the target question.
Since both fractions have the same denominator, we can add the numerators.
We get: r/2 + s/2 = (r + s)/2
REPHRASED target question: What is the value of (r + s)/2

Statement 1: (r + s)/2 = 5
This is PERFECT!
Since we can answer the REPHRASED target question with certainty, statement 1 is SUFFICIENT

Statement 2: r + s = 10
If r + s = 10, then (r + s)/2 = (10)/2 = 5
Since we can answer the REPHRASED target question with certainty, statement 2 is SUFFICIENT

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Re: What is the value of r/2 + s/2 ?  [#permalink]

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14 Aug 2018, 04:24
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Re: What is the value of r/2 + s/2 ?   [#permalink] 14 Aug 2018, 04:24
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