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If \(r\) and \(s\) are positive integers and \(r-s=6\),

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by VJesus12 » Fri Dec 13, 2019 10:35 am
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. \(2s-r\)

[spoiler]OA=A[/spoiler]

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by [email protected] » Fri Dec 13, 2019 10:42 am
Hi VJesus12,

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

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

Final Answer: A

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by Scott@TargetTestPrep » Sun Dec 22, 2019 7:34 pm
VJesus12 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. \(2s-r\)

[spoiler]OA=A[/spoiler]

Source: GMAT Prep
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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