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Brent and Alexa are freelance authors. Between them, they have been

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Brent and Alexa are freelance authors. Between them, they have been [#permalink]

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Brent and Alexa are freelance authors. Between them, they have been published p times, with Alexa having been published n times more than Brent has. Which of the following represents the number of times that Alexa has been published?

A. (p+n)/2

B. (p−n)/2

C. p−n

D. p−2n

E. (p+2n)/2
[Reveal] Spoiler: OA

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Re: Brent and Alexa are freelance authors. Between them, they have been [#permalink]

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New post 26 Jul 2017, 04:11
Bunuel wrote:
Brent and Alexa are freelance authors. Between them, they have been published p times, with Alexa having been published n times more than Brent has. Which of the following represents the number of times that Alexa has been published?

A. (p+n)/2

B. (p−n)/2

C. p−n

D. p−2n

E. (p+2n)/2


Alexa = A times
Brent = B times
\(A+B = P\)
\(B=A-n\)
\(A+A-n = p\)
\(2A=p+n\)
\(A=(p+n)/2\)
Option A
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Re: Brent and Alexa are freelance authors. Between them, they have been [#permalink]

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New post 26 Jul 2017, 07:54
Bunuel wrote:
Brent and Alexa are freelance authors. Between them, they have been published p times, with Alexa having been published n times more than Brent has. Which of the following represents the number of times that Alexa has been published?

A. (p+n)/2

B. (p−n)/2

C. p−n

D. p−2n

E. (p+2n)/2


Solution



    • As per the given conditions

      o \(A + B = p\) ……………..(i)

      o \(A = n + B\)


        o \(A – B = n\) ………..(ii)

    • Adding equation (i) and (ii), we get

      o \(2A = p + n\)

      o \(A = \frac{(p+n)}{2}\)

    • Thus, the correct answer is Option A.


Thanks,
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Re: Brent and Alexa are freelance authors. Between them, they have been [#permalink]

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New post 26 Jul 2017, 09:13
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Bunuel wrote:
Brent and Alexa are freelance authors. Between them, they have been published p times, with Alexa having been published n times more than Brent has. Which of the following represents the number of times that Alexa has been published?

A. (p+n)/2

B. (p−n)/2

C. p−n

D. p−2n

E. (p+2n)/2


Or just plug in values. Say they both have been published 10 times (p = 10) and Alexa has been published 10 times more i.e. Brent has been published 0 times.
We need the option that gives 10 when p = n = 10

Only (A) does that.
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Re: Brent and Alexa are freelance authors. Between them, they have been [#permalink]

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New post 09 Aug 2017, 12:35
Bunuel wrote:
Brent and Alexa are freelance authors. Between them, they have been published p times, with Alexa having been published n times more than Brent has. Which of the following represents the number of times that Alexa has been published?

A. (p+n)/2

B. (p−n)/2

C. p−n

D. p−2n

E. (p+2n)/2


Let A and B denote the number of times Alexa and Brent has been published, respectively.

Since they have been published p times,

A + B = p.

Since the number of publications of Alexa is n more than Brent,

A = B + n.

Let’s write the second equality as

B = A - n.

Let’s substitute this expression for B in the first equation:

A + (A - n) = p

2A = p + n

A = (p + n)/2

Answer: A
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Brent and Alexa are freelance authors. Between them, they have been [#permalink]

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A+B----------p times
B-------------b times


Case - 1: Alexa having been published n times more than Brent has.
A-------------nb times (n times more than Brent!!!)

p = b + nb
nb = p-n | C


Case - 2: Alexa having been published n more times than Brent has.
A-------------n+b times (n more times than Brent!!!)

p = b + n + b
2b = p-n
b = [(p-n)/2] | A

Bunuel, Vyshak, Engr2012, mikemcgarry, Abhishek009, VeritasPrepKarishma, Skywalker18, msk0657, abhimahna
I got this question wrong because i followed case-1, am i miss-understanding something?
Please clarify.
Thanks
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Brent and Alexa are freelance authors. Between them, they have been [#permalink]

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New post 08 Oct 2017, 09:24
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Bunuel wrote:
Brent and Alexa are freelance authors. Between them, they have been published p times, with Alexa having been published n times more than Brent has. Which of the following represents the number of times that Alexa has been published?

A. (p+n)/2

B. (p−n)/2

C. p−n

D. p−2n

E. (p+2n)/2


manishtank1988 wrote:
A+B----------p times
B-------------b times


Case - 1: Alexa having been published n times more than Brent has.
A-------------nb times (n times more than Brent!!!)

p = b + nb
nb = p-n | C


Case - 2: Alexa having been published n more times than Brent has.
A-------------n+b times (n more times than Brent!!!)

p = b + n + b
2b = p-n
b = [(p-n)/2] | A

Bunuel, Vyshak, Engr2012, mikemcgarry, Abhishek009, VeritasPrepKarishma, Skywalker18, msk0657, abhimahna
I got this question wrong because i followed case-1, am i miss-understanding something?
Please clarify.
Thanks


Hi manishtank1988 ,
Between them, they have been published p times, with Alexa having been published n times more than Brent has .
A = b+n (since Alexa having been published n times more than Brent has -- we add here )
If question was that Alexa was published n times the number of times Brent was published, then A = b*n is correct
B = b

2b+n = p
=> b = (p-n)/2

A = (p-n)/2 +n = (p+n)/2

Answer A

Hope this helps!!
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Re: Brent and Alexa are freelance authors. Between them, they have been [#permalink]

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New post 08 Oct 2017, 09:33
Let A be the times Alexa has been published and let B be the times Brent has been published.
They have been published p times i.e. A+B = p
Now, Alexa has been published n times more than Brent. --> A= B+n --> B = A - n
Substituting value of B in original equation.
A+A-n = p --> 2A = p+n --> A=(p+n)/2
Answer A.

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Re: Brent and Alexa are freelance authors. Between them, they have been [#permalink]

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New post 08 Oct 2017, 10:11
Skywalker18 wrote:
Bunuel wrote:
Brent and Alexa are freelance authors. Between them, they have been published p times, with Alexa having been published n times more than Brent has. Which of the following represents the number of times that Alexa has been published?

A. (p+n)/2

B. (p−n)/2

C. p−n

D. p−2n

E. (p+2n)/2


manishtank1988 wrote:
A+B----------p times
B-------------b times


Case - 1: Alexa having been published n times more than Brent has.
A-------------nb times (n times more than Brent!!!)

p = b + nb
nb = p-n | C


Case - 2: Alexa having been published n more times than Brent has.
A-------------n+b times (n more times than Brent!!!)

p = b + n + b
2b = p-n
b = [(p-n)/2] | A

Bunuel, Vyshak, Engr2012, mikemcgarry, Abhishek009, VeritasPrepKarishma, Skywalker18, msk0657, abhimahna
I got this question wrong because i followed case-1, am i miss-understanding something?
Please clarify.
Thanks


Hi manishtank1988 ,
Between them, they have been published p times, with Alexa having been published n times more than Brent has .
A = b+n (since Alexa having been published n times more than Brent has -- we add here )
If question was that Alexa was published n times the number of times Brent was published, then A = b*n is correct
B = b

2b+n = p
=> b = (p-n)/2

A = (p-n)/2 +n = (p+n)/2

Answer A

Hope this helps!!


Thanks Skywalker18 got it :thumbup:
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Re: Brent and Alexa are freelance authors. Between them, they have been [#permalink]

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New post 15 Dec 2017, 14:35
EgmatQuantExpert wrote:
Bunuel wrote:
Brent and Alexa are freelance authors. Between them, they have been published p times, with Alexa having been published n times more than Brent has. Which of the following represents the number of times that Alexa has been published?

A. (p+n)/2

B. (p−n)/2

C. p−n

D. p−2n

E. (p+2n)/2


Solution



    • As per the given conditions

      o \(A + B = p\) ……………..(i)

      o \(A = n + B\)


        o \(A – B = n\) ………..(ii)

    • Adding equation (i) and (ii), we get

      o \(2A = p + n\)

      o \(A = \frac{(p+n)}{2}\)

    • Thus, the correct answer is Option A.


Thanks,
Saquib
Quant Expert
e-GMAT


I got this question wrong because I chose "p-n/2." I substituted A (B+n) into B+A=p. I don't understand why we have to switch A=B+n to B=A-n....someone please clarify this for me. Thanks!
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Re: Brent and Alexa are freelance authors. Between them, they have been [#permalink]

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New post 15 Dec 2017, 23:29
rnz wrote:
EgmatQuantExpert wrote:
Bunuel wrote:
Brent and Alexa are freelance authors. Between them, they have been published p times, with Alexa having been published n times more than Brent has. Which of the following represents the number of times that Alexa has been published?

A. (p+n)/2

B. (p−n)/2

C. p−n

D. p−2n

E. (p+2n)/2


Solution



    • As per the given conditions

      o \(A + B = p\) ……………..(i)

      o \(A = n + B\)


        o \(A – B = n\) ………..(ii)

    • Adding equation (i) and (ii), we get

      o \(2A = p + n\)

      o \(A = \frac{(p+n)}{2}\)

    • Thus, the correct answer is Option A.


Thanks,
Saquib
Quant Expert
e-GMAT


I got this question wrong because I chose "p-n/2." I substituted A (B+n) into B+A=p. I don't understand why we have to switch A=B+n to B=A-n....someone please clarify this for me. Thanks!


If you substitute A = n + B into A + B = p, you get: (n + B) + B = p --> 2B = p - n --> B = (p - n)/2. Yes, but you are answering WRONG question. The question asks: Which of the following represents the number of times that Alexa has been published? You found the number of times that Brent has been published: B = (p - n)/2.

Hope it's clear.
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Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: Brent and Alexa are freelance authors. Between them, they have been   [#permalink] 15 Dec 2017, 23:29
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