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# m and r are two numbers on a number line, what is the value

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Manager
Joined: 21 Aug 2008
Posts: 193
m and r are two numbers on a number line, what is the value [#permalink]

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27 Sep 2008, 19:57
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m and r are two numbers on a number line, what is the value of r?

(1) The distance between r and 0 is 3 times the distance between m and 0

(2) 12 is halfway between m and r

I don't understand the OA. Pls help me out. THx.
SVP
Joined: 29 Aug 2007
Posts: 2457
Re: DS - Value of r [#permalink]

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27 Sep 2008, 21:19
Richardson wrote:
m and r are two numbers on a number line, what is the value of r?

(1) The distance between r and 0 is 3 times the distance between m and 0
(2) 12 is halfway between m and r

I don't understand the OA. Pls help me out. THx.

1: r and m, both or either, could be -ve or +ve.
for ex: m = 5 and r = 15 hold ro = 3 mo. here r =5
m = -5 and r = 15 also hold the same. r = -5
nsf.

2: if 12 is half way bet r and m, r and m could have any value and either one be on the RHS or LHS. so nsf.

1&2: also nsf.

if m = -12, r = 36, 12 is half ways between r and m and ro = 3 mo.
if m = 6, r = 18, 12 is still halfway between r and m and ro = 3 mo.

so //E//
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Manager
Joined: 22 Sep 2008
Posts: 119
Re: DS - Value of r [#permalink]

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29 Sep 2008, 11:09
hey ..

how this come to your mind?

" if m = -12, r = 36, 12 is half ways between r and m and ro = 3 mo."

I mark C once i guess 6,18 for m & r,but i never thought of -12 and 36
Intern
Joined: 29 Sep 2008
Posts: 46
Re: DS - Value of r [#permalink]

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29 Sep 2008, 16:48
both are not sufficient together. Since 12 is mid point, r + m = 24 and |r|=3|m| => r = +-m
solve for r to get 6 or -12.
Manager
Joined: 21 Aug 2008
Posts: 193
Re: DS - Value of r [#permalink]

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30 Sep 2008, 04:18
aim2010 wrote:
both are not sufficient together. Since 12 is mid point, r + m = 24 and |r|=3|m| => r = +-m
solve for r to get 6 or -12.

Got that I missed -12/36 combination. OA is E>
VP
Joined: 18 May 2008
Posts: 1207
Re: DS - Value of r [#permalink]

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30 Sep 2008, 06:29
Richardson, can u tell me whts the source?
Richardson wrote:
m and r are two numbers on a number line, what is the value of r?

(1) The distance between r and 0 is 3 times the distance between m and 0

(2) 12 is halfway between m and r

I don't understand the OA. Pls help me out. THx.
Manager
Joined: 21 Aug 2008
Posts: 193
Re: DS - Value of r [#permalink]

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01 Oct 2008, 06:48
ritula wrote:
Richardson, can u tell me whts the source?
Richardson wrote:
m and r are two numbers on a number line, what is the value of r?

(1) The distance between r and 0 is 3 times the distance between m and 0

(2) 12 is halfway between m and r

I don't understand the OA. Pls help me out. THx.

It's from GMAPrep (second test).
VP
Joined: 18 May 2008
Posts: 1207
Re: DS - Value of r [#permalink]

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01 Oct 2008, 16:57
I know it is very basic question, but can u tell me how did u solve to get value r=-36?
aim2010 wrote:
both are not sufficient together. Since 12 is mid point, r + m = 24 and |r|=3|m| => r = +-m
solve for r to get 6 or -12.
Intern
Joined: 29 Sep 2008
Posts: 46
Re: DS - Value of r [#permalink]

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01 Oct 2008, 18:55
ritula wrote:
I know it is very basic question, but can u tell me how did u solve to get value r=-36?
aim2010 wrote:
both are not sufficient together. Since 12 is mid point, r + m = 24 and |r|=3|m| => r = +-m
solve for r to get 6 or -12.

r + m = 24

|r| = 3|m| => r = 3m or -3m

substitute r = 3m to get m = 6 and r = 18
substitute r = -3m to get m = -12 and r = 36
Intern
Joined: 29 Sep 2008
Posts: 46
Re: DS - Value of r [#permalink]

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01 Oct 2008, 18:57
i hope it is clear now, let me know if it still does not make sense.
VP
Joined: 17 Jun 2008
Posts: 1329
Re: DS - Value of r [#permalink]

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01 Oct 2008, 22:38
Richardson wrote:
m and r are two numbers on a number line, what is the value of r?

(1) The distance between r and 0 is 3 times the distance between m and 0

(2) 12 is halfway between m and r

I don't understand the OA. Pls help me out. THx.

IMO E
1)|r|=3|m|
with al the values of m , val of r changes INSUFFI

2) r-m=12 or m-r =12 => with diff m can change !!!

COMBINING BOTH
say r =3m then m=6 ,r=6or m= -6,r=-18 hence INSUFFI
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VP
Joined: 18 May 2008
Posts: 1207
Re: DS - Value of r [#permalink]

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02 Oct 2008, 07:56
Oh yes. dats so simple. Silly me. I ignored negative value

aim2010 wrote:
i hope it is clear now, let me know if it still does not make sense.
Re: DS - Value of r   [#permalink] 02 Oct 2008, 07:56
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