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

Answer: A
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Re: If r and s are positive integers and r-s=6, which of the following has [#permalink]
zatspeed
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 problem can be solved without picking any numbers, only by using logic to eliminate wrong answer choices.

Since both r and s are positive integers, option A > D, and B > E. [Eliminate D & E]

Again, since r-s = 6, r > s. So A > B. [Eliminate B]

Again, 2r = r+r. And r+r > r+s. So A > C [Eliminate C]

Option A is the right answer.
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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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Re: If r and s are positive integers and r-s=6, which of the following has [#permalink]
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