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Bea owns how many more CDs than Al owns?

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Bea owns how many more CDs than Al owns?  [#permalink]

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New post 25 Mar 2015, 04:29
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Bea owns how many more CDs than Al owns?

(1) If Bea gives 9 of her CDs to Al, then Al will own twice as many CDs as Bea owns.

(2) If Bea gives 1 CD to Al, and Al purchases 4 additional CDs, then Al and Bea will have an equal number of CDs.


Kudos for a correct solution.

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Re: Bea owns how many more CDs than Al owns?  [#permalink]

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New post 25 Mar 2015, 07:08
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Bunuel wrote:
Bea owns how many more CDs than Al owns?

(1) If Bea gives 9 of her CDs to Al, then Al will own twice as many CDs as Bea owns.

(2) If Bea gives 1 CD to Al, and Al purchases 4 additional CDs, then Al and Bea will have an equal number of CDs.


Kudos for a correct solution.


We need x-y=? x is Bea's number of CDs and Al has y.
Statement A: 2(x-9)=y+9 NS

Statement B: x-1=y+1+4 so we can get the difference between x and y. Sufficient.

Answer is B
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Re: Bea owns how many more CDs than Al owns?  [#permalink]

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New post 25 Mar 2015, 07:41
Bunuel wrote:
Bea owns how many more CDs than Al owns?

(1) If Bea gives 9 of her CDs to Al, then Al will own twice as many CDs as Bea owns.

(2) If Bea gives 1 CD to Al, and Al purchases 4 additional CDs, then Al and Bea will have an equal number of CDs.


Kudos for a correct solution.


B-A=?

Statement 1 :
2 (B-9) = (A+9)
2B-A=27
Insufficient

Statement 2 :
B-1=A+5
B-A=6
Sufficient

Answer : B
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Re: Bea owns how many more CDs than Al owns?  [#permalink]

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New post 25 Mar 2015, 21:25
Bunuel wrote:
Bea owns how many more CDs than Al owns?

(1) If Bea gives 9 of her CDs to Al, then Al will own twice as many CDs as Bea owns.

(2) If Bea gives 1 CD to Al, and Al purchases 4 additional CDs, then Al and Bea will have an equal number of CDs.


Kudos for a correct solution.


(1) If Bea gives 9 of her CDs to Al, then Al will own twice as many CDs as Bea owns.
\(B= \frac{A+27}{2}\)
This looks like a average question where B is average of A and 27 , till we have A <27 we will have B>A.
At A=27 B=27
as we move up A we will start getting A>B .
Not Sufficient.
(2) If Bea gives 1 CD to Al, and Al purchases 4 additional CDs, then Al and Bea will have an equal number of CDs.
Sufficient .
B-1 = A+5

Answer B.
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Re: Bea owns how many more CDs than Al owns?  [#permalink]

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New post 26 Mar 2015, 00:10
!) 2(B-9) = A+9
2B- A = 27 Not Sufficient

2) B-1 = A+5
B-A = 6 Sufficient

Ans B
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Re: Bea owns how many more CDs than Al owns?  [#permalink]

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New post 30 Mar 2015, 04:49
Bunuel wrote:
Bea owns how many more CDs than Al owns?

(1) If Bea gives 9 of her CDs to Al, then Al will own twice as many CDs as Bea owns.

(2) If Bea gives 1 CD to Al, and Al purchases 4 additional CDs, then Al and Bea will have an equal number of CDs.


Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION:
Attachment:
cdsforalandbea_text.png
cdsforalandbea_text.png [ 23.47 KiB | Viewed 1702 times ]

_________________

New to the Math Forum?
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.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

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Re: Bea owns how many more CDs than Al owns?  [#permalink]

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New post 25 Jun 2018, 08:45
peachfuzz wrote:
Bunuel wrote:
Bea owns how many more CDs than Al owns?

(1) If Bea gives 9 of her CDs to Al, then Al will own twice as many CDs as Bea owns.

(2) If Bea gives 1 CD to Al, and Al purchases 4 additional CDs, then Al and Bea will have an equal number of CDs.


Kudos for a correct solution.


B-A=?

Statement 1 :
2 (B-9) = (A+9)
2B-A=27
Insufficient

Statement 2 :
B-1=A+5
B-A=6
Sufficient

Answer : B


Could you please explain how you got the formula:

2(B-9) = A+9

It is not clear for me. Thanks
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Re: Bea owns how many more CDs than Al owns?  [#permalink]

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New post 25 Jun 2018, 08:46
Bunuel wrote:
Bunuel wrote:
Bea owns how many more CDs than Al owns?

(1) If Bea gives 9 of her CDs to Al, then Al will own twice as many CDs as Bea owns.

(2) If Bea gives 1 CD to Al, and Al purchases 4 additional CDs, then Al and Bea will have an equal number of CDs.


Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION:
Attachment:
cdsforalandbea_text.png



Hi, could you please explain how you got the formula:

2(B-9) = A+9

It is not clear for me. Thanks
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Re: Bea owns how many more CDs than Al owns?  [#permalink]

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New post 26 Jun 2018, 11:37
Serch wrote:
Bunuel wrote:
Bunuel wrote:
Bea owns how many more CDs than Al owns?

(1) If Bea gives 9 of her CDs to Al, then Al will own twice as many CDs as Bea owns.

(2) If Bea gives 1 CD to Al, and Al purchases 4 additional CDs, then Al and Bea will have an equal number of CDs.


Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION:
Attachment:
cdsforalandbea_text.png



Hi, could you please explain how you got the formula:

2(B-9) = A+9

It is not clear for me. Thanks


Hello

Lets say Al owns 'A' CDs and Bea owns 'B' CDs.
If B gives 9 of her CDs to Al, number of CDs now remaining with Bea = B-9, and number of CDs now with Al = A+9. This is the new number of CDs with them.
And we are given that in this new scenario, Al now owns twice as many CDs as Bea.

So number of CDs with Al now = 2 * number of CDs with Bea now
OR (A+9) = 2(B-9)
Re: Bea owns how many more CDs than Al owns? &nbs [#permalink] 26 Jun 2018, 11:37
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