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# Bea owns how many more CDs than Al owns?

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Math Expert
Joined: 02 Sep 2009
Posts: 51096
Bea owns how many more CDs than Al owns?  [#permalink]

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25 Mar 2015, 03:29
1
1
00:00

Difficulty:

45% (medium)

Question Stats:

62% (01:50) correct 38% (01:57) wrong based on 83 sessions

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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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Intern
Joined: 02 Jan 2014
Posts: 39
Re: Bea owns how many more CDs than Al owns?  [#permalink]

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25 Mar 2015, 06:08
1
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.

Senior Manager
Joined: 28 Feb 2014
Posts: 294
Location: United States
Concentration: Strategy, General Management
Re: Bea owns how many more CDs than Al owns?  [#permalink]

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25 Mar 2015, 06:41
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

Director
Joined: 07 Aug 2011
Posts: 538
GMAT 1: 630 Q49 V27
Re: Bea owns how many more CDs than Al owns?  [#permalink]

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25 Mar 2015, 20:25
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

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Manager
Joined: 06 Jan 2014
Posts: 60
Re: Bea owns how many more CDs than Al owns?  [#permalink]

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25 Mar 2015, 23:10
!) 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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Math Expert
Joined: 02 Sep 2009
Posts: 51096
Re: Bea owns how many more CDs than Al owns?  [#permalink]

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30 Mar 2015, 03:49
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 [ 23.47 KiB | Viewed 1766 times ]

_________________
Intern
Joined: 14 Jun 2018
Posts: 5
Re: Bea owns how many more CDs than Al owns?  [#permalink]

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25 Jun 2018, 07:45
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

Could you please explain how you got the formula:

2(B-9) = A+9

It is not clear for me. Thanks
Intern
Joined: 14 Jun 2018
Posts: 5
Re: Bea owns how many more CDs than Al owns?  [#permalink]

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25 Jun 2018, 07:46
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
DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1412
Location: India
Re: Bea owns how many more CDs than Al owns?  [#permalink]

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26 Jun 2018, 10:37
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, 10:37
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