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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # If r and s are positive integers and r-s=6, which of the following has

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Intern  Joined: 14 Oct 2014
Posts: 19
If r and s are positive integers and r-s=6, which of the following has  [#permalink]

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Difficulty:   5% (low)

Question Stats: 91% (01:09) correct 9% (01:28) wrong based on 105 sessions

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If r and s are positive integers and r-s=6, which of the following has the greatest value?

A. 2r
B. 2s
C. r +s
D. 2r-s
E. 2s-r

I am not entirely sure of the method I used and I got
D and E have answer value of 12
B has answer value of 12-r
A has answer value of 12+s
C, I am not even sure how to input the values for this one

Originally posted by zatspeed on 11 Mar 2015, 21:57.
Last edited by Bunuel on 12 Mar 2015, 05:16, edited 1 time in total.
Renamed the topic and edited the question.
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Re: If r and s are positive integers and r-s=6, which of the following has  [#permalink]

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1
Hi zatspeed,

You can answer this question by using Number Properties and logic or by TESTing VALUES.

We're told that R and S are POSITIVE INTEGERS and that R-S = 6. We're asked which of the 5 answers has the GREATEST value.

IF....
R = 8
S = 2

Answer A: 2R = 2(8) = 16
Answer B: 2S = 2(2) = 4
Answer C: R+S = 8+2 = 10
Answer D: 2R-S = 2(8) - 2 = 14
Answer E: 2S-R = 2(2) - 8 = -4

GMAT assassins aren't born, they're made,
Rich
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Intern  Joined: 14 Oct 2014
Posts: 19
Re: If r and s are positive integers and r-s=6, which of the following has  [#permalink]

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EMPOWERgmatRichC wrote:
Hi zatspeed,

You can answer this question by using Number Properties and logic or by TESTing VALUES.

We're told that R and S are POSITIVE INTEGERS and that R-S = 6. We're asked which of the 5 answers has the GREATEST value.

IF....
R = 8
S = 2

Answer A: 2R = 2(8) = 16
Answer B: 2S = 2(2) = 4
Answer C: R+S = 8+2 = 10
Answer D: 2R-S = 2(8) - 2 = 14
Answer E: 2S-R = 2(2) - 8 = -4

GMAT assassins aren't born, they're made,
Rich

That makes great sense. Thanks

I tried inputting the values for example as it says r-s=6. I input answer D as 2(r-s=6)= 12. But guess this method is wrong.
EMPOWERgmat Instructor V
Status: GMAT Assassin/Co-Founder
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Re: If r and s are positive integers and r-s=6, which of the following has  [#permalink]

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Hi zatspeed,

The problem with what you tried to do is that it does not follow "Order of Operations" rules.

2R - S means "the product of 2 and R.......minus S"; the multiplication has to happen before the subtraction. That's why....

2R-S is different from 2(R-S) = 2R - 2S. These are subtle rules, but important ones - they govern how math "works."

GMAT assassins aren't born, they're made,
Rich
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Intern  Joined: 14 Oct 2014
Posts: 19
Re: If r and s are positive integers and r-s=6, which of the following has  [#permalink]

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EMPOWERgmatRichC wrote:
Hi zatspeed,

The problem with what you tried to do is that it does not follow "Order of Operations" rules.

2R - S means "the product of 2 and R.......minus S"; the multiplication has to happen before the subtraction. That's why....

2R-S is different from 2(R-S) = 2R - 2S. These are subtle rules, but important ones - they govern how math "works."

GMAT assassins aren't born, they're made,
Rich

Oh ya, ofcourse. Not sure how I overlooked that method. Practice gets to ya at times :p

Thanks
SVP  B
Joined: 06 Nov 2014
Posts: 1856
Re: If r and s are positive integers and r-s=6, which of the following has  [#permalink]

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zatspeed wrote:
If r and s are positive integers and r-s=6, which of the following has the greatest value?

A. 2r
B. 2s
C. r +s
D. 2r-s
E. 2s-r

I am not entirely sure of the method I used and I got
D and E have answer value of 12
B has answer value of 12-r
A has answer value of 12+s
C, I am not even sure how to input the values for this one

The simplest way to do this is to assume values.
We are told that r and s are positive integers.
Also, r-s = 6 => r = 6+s
Hence r is 6 more than s.
Let s be 10. Hence r = 16.

Option A: 2r = 2*16 = 32
Option B: 2s = 2 * 10 = 20
Option C: r + s = 16 + 10 = 26
Option D: 2r - s = 2(16) - 10 = 32 - 10 = 22
Option E: 2s - r = 2(10) - 16 = 20 - 16 = 4

Hence option A is the greatest.

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Re: If r and s are positive integers and r-s=6, which of the following has  [#permalink]

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zatspeed wrote:
If r and s are positive integers and r-s=6, which of the following has the greatest value?

A. 2r
B. 2s
C. r +s
D. 2r-s
E. 2s-r

We can let r = 7 and s = 1. Testing each answer choice, we have:

A) 2r = 14

B) 2s = 2

C) r + s = 8

D) 2r - s = 13

E) 2s - r = -5

We see that choice A produces the largest value.

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# If r and s are positive integers and r-s=6, which of the following has  