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# What is the difference of the integers m and n ?

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Senior Manager
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What is the difference of the integers m and n ? [#permalink]

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18 Jun 2013, 15:41
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What is the difference of the integers m and n ?

(1) m = -n
(2) |m|= - |n|
[Reveal] Spoiler: OA
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Re: What is the difference of the integers m and n ? [#permalink]

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18 Jun 2013, 15:50
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What is the difference of the integers m and n ?

(1) m = -n. Clearly insufficient. Consider m=n=0 or m=-n=1.

(2) |m|= - |n| --> |m| + |n| = 0. The sum of two non-negative values can be zero only if both are 0. Thus m=n=0. Sufficient.

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Re: What is the difference of the integers m and n ? [#permalink]

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18 Jun 2013, 15:55
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guerrero25 wrote:
What is the difference of the integers m and n ?

(1) m = -n
(2) |m|= - |n|

Similar questions to practice:
what-is-the-value-of-ab-151880.html
what-is-the-sum-of-integers-a-and-b-1-a-b-2-b-47089.html
is-xy-132217.html
is-x-y-134781.html
is-x-y-108977.html

Hope it helps.
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Re: What is the difference of the integers m and n ? [#permalink]

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18 Jun 2013, 17:54
Can you explain the difference between #1 and 2? It seems like they are very similar in operation.

Thanks!

Bunuel wrote:
What is the difference of the integers m and n ?

(1) m = -n. Clearly insufficient. Consider m=n=0 or m=-n=1.

(2) |m|= - |n| --> |m| + |n| = 0. The sum of two non-negative values can be zero only if both are 0. Thus m=n=0. Sufficient.

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Re: What is the difference of the integers m and n ? [#permalink]

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18 Jun 2013, 17:56
WholeLottaLove wrote:
Can you explain the difference between #1 and 2? It seems like they are very similar in operation.

Thanks!

Bunuel wrote:
What is the difference of the integers m and n ?

(1) m = -n. Clearly insufficient. Consider m=n=0 or m=-n=1.

(2) |m|= - |n| --> |m| + |n| = 0. The sum of two non-negative values can be zero only if both are 0. Thus m=n=0. Sufficient.

How are they similar?

(1) m + n = 0.
(2) |m| + |n| = 0.
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Re: What is the difference of the integers m and n ? [#permalink]

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18 Jun 2013, 18:04
The way you solved them.

Or, is it because a and b could take on a positive and negative value? For example, a=10 and b=-10 whereas |a| and |b| but be positive so the only way they can = zero is if a and b are both zero?

Bunuel wrote:
WholeLottaLove wrote:
Can you explain the difference between #1 and 2? It seems like they are very similar in operation.

Thanks!

Bunuel wrote:
What is the difference of the integers m and n ?

(1) m = -n. Clearly insufficient. Consider m=n=0 or m=-n=1.

(2) |m|= - |n| --> |m| + |n| = 0. The sum of two non-negative values can be zero only if both are 0. Thus m=n=0. Sufficient.

How are they similar?

(1) m + n = 0.
(2) |m| + |n| = 0.
Math Expert
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Re: What is the difference of the integers m and n ? [#permalink]

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18 Jun 2013, 18:10
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WholeLottaLove wrote:
The way you solved them.

Or, is it because a and b could take on a positive and negative value? For example, a=10 and b=-10 whereas |a| and |b| but be positive so the only way they can = zero is if a and b are both zero?

|m| and |n| are non-negative, not positive. The sum of two non-negative values can be zero only if both are 0. Thus m=n=0.

As for m = -n. Infinitely many case are possible, m=n=0, m=-n=1, m=-n=2, ...
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Re: What is the difference of the integers m and n ? [#permalink]

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18 Jun 2013, 18:41
Got it. The similarity between this and the other question I just asked was throwing me off. Thanks.

Bunuel wrote:
WholeLottaLove wrote:
The way you solved them.

Or, is it because a and b could take on a positive and negative value? For example, a=10 and b=-10 whereas |a| and |b| but be positive so the only way they can = zero is if a and b are both zero?

|m| and |n| are non-negative, not positive. The sum of two non-negative values can be zero only if both are 0. Thus m=n=0.

As for m = -n. Infinitely many case are possible, m=n=0, m=-n=1, m=-n=2, ...
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Re: What is the difference of the integers m and n ? [#permalink]

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21 Jan 2014, 06:18
Stmt 1: m =-n then difference between m&n is m-n = -2n or 2m this value can be anything. NOT SUFFICIENT.
Stmt 2: |m|=-|n| now regardless of whether m is +ve or -ve
|m| is always >=0.
Similarly |n| is always >=0 hence -|n| is always <=0.
Combining m=n=0 and difference is 0.

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Re: What is the difference of the integers m and n ? [#permalink]

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05 Jan 2017, 22:34
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Re: What is the difference of the integers m and n ?   [#permalink] 05 Jan 2017, 22:34
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# What is the difference of the integers m and n ?

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