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

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If m and r are two numbers on a number line, what is the [#permalink]

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18 Dec 2005, 16:58
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If 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
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18 Dec 2005, 22:13
joemama142000 wrote:
If 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

Distance between X and Y on a number line = | X - Y |

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

| r | = 3 x | m |

r = -3m or 3m

Insufficient.

2) 12 is halfway between m and r.

( m + r ) / 2 = 12

m + r = 24

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

If r = -3m, m + r = -3m + m = -2m = 24 ---> m = -12, r = 36
If r = 3m, m + r = 3m + m = 4m = 24 ---> m = 6, r = 18

Insufficient.

I vote for (E).[/b]
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18 Dec 2005, 22:25
joemama142000 wrote:
If 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

its E. the order of m, r and o could be any with the above constraints...
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18 Dec 2005, 22:41
One more for E, and my working is same as gamjatang
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19 Dec 2005, 11:36
great explanation , the oa is E
19 Dec 2005, 11:36
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