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If R, S, & T are numbers on the number line, not necessarily in that

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Posts: 58335
If R, S, & T are numbers on the number line, not necessarily in that  [#permalink]

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New post 26 Sep 2018, 05:29
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C
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Difficulty:

  35% (medium)

Question Stats:

66% (01:19) correct 34% (01:40) wrong based on 65 sessions

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Concentration: Strategy, General Management
If R, S, & T are numbers on the number line, not necessarily in that  [#permalink]

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New post Updated on: 26 Sep 2018, 09:00
Bunuel wrote:
If R, S, & T are numbers on the number line, not necessarily in that order, is the value of |R −T| at least 9?

(1) |R − S| = 50.
(2) |S − T| = 4


(1) |R − S| = 50

case 1
R-S=50
R=S+50
case 2
R=S-50
T= ?

not sufficient

(2) |S − T| = 4
case 1
S=T+4
case 2
S=T-4
R= ?

not sufficient

using both

R=T+4+50
R-T=54

and

R-T=-46
|R-T|=46

Sufficient
C

Originally posted by CounterSniper on 26 Sep 2018, 08:54.
Last edited by CounterSniper on 26 Sep 2018, 09:00, edited 1 time in total.
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Re: If R, S, & T are numbers on the number line, not necessarily in that  [#permalink]

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New post 26 Sep 2018, 08:57
If R, S, & T are numbers on the number line, not necessarily in that order, is the value of |R −T| at least 9?

(1) |R − S| = 50.
This tells us that distance between R and S is 50
Nothing about T
Insufficient

(2) |S − T| = 4
This tells us that distance between T and S is 4
Nothing about R
Insufficient

Combined..
Say T is between R and S, then R and T will be 50-4=46 units away
Say T is on other side of S, distance between R and T is 50+4=54
Both cases it is >9 or atleast 9
Sufficient

C
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Re: If R, S, & T are numbers on the number line, not necessarily in that   [#permalink] 26 Sep 2018, 08:57
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