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What is the value of r/2 + s/2 ? (1) (r + s)/2 = 5 (2) r + s = 10

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Bunuel
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What is the value of r/2 + s/2 ? (1) (r + s)/2 = 5 (2) r + s = 10 [#permalink] New post  24 Dec 2013, 03:45
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What is the value of r/2 + s/2 ?

(1) (r + s)/2 = 5
(2) r + s = 10
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Bunuel
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Re: What is the value of r/2 + s/2 ? (1) (r + s)/2 = 5 (2) r + s = 10 [#permalink] New post  24 Dec 2013, 03:45
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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.

Answer: D.
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Re: What is the value of r/2 + s/2 ? (1) (r + s)/2 = 5 (2) r + s = 10 [#permalink] New post  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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BrentGMATPrepNow
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Re: What is the value of r/2 + s/2 ? (1) (r + s)/2 = 5 (2) r + s = 10 [#permalink] New post  Updated on: 26 Sep 2020, 07:32
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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

Answer =
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D


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Originally posted by BrentGMATPrepNow on 22 Jul 2016, 11:25.
Last edited by BrentGMATPrepNow on 26 Sep 2020, 07:32, edited 1 time in total.
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Re: What is the value of r/2 + s/2 ? (1) (r + s)/2 = 5 (2) r + s = 10 [#permalink] New post  16 Jun 2021, 04:20
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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


Solution:

Question Stem Analysis:

We need to determine the value of r/2 + s/2, i.e., (r + s)/2.

Statement One Alone:

We can re-express the fraction (r + s) / 2 as the sum of two fractions: r/2 + s/2. Thus, the sum is 5. Statement one alone is sufficient.

Statement Two Alone:

Since r + s = 10, then (r +s)/2 = 10/2 = 5. Statement two alone is sufficient.

Answer: D
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Re: What is the value of r/2 + s/2 ? (1) (r + s)/2 = 5 (2) r + s = 10 [#permalink] New post  22 Mar 2023, 18:06
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Re: What is the value of r/2 + s/2 ? (1) (r + s)/2 = 5 (2) r + s = 10 [#permalink]
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