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# What is the value of a - b ? (1) a^2 - 2ab + b^2 = 16 (2) |a - b| = 4

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Math Expert
Joined: 02 Sep 2009
Posts: 43348

Kudos [?]: 139709 [0], given: 12794

What is the value of a - b ? (1) a^2 - 2ab + b^2 = 16 (2) |a - b| = 4 [#permalink]

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12 Dec 2017, 04:55
Expert's post
3
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Difficulty:

25% (medium)

Question Stats:

75% (00:35) correct 25% (00:37) wrong based on 63 sessions

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What is the value of a - b ?

(1) a^2 - 2ab + b^2 = 16
(2) |a - b| = 4
[Reveal] Spoiler: OA

_________________

Kudos [?]: 139709 [0], given: 12794

Math Expert
Joined: 02 Aug 2009
Posts: 5536

Kudos [?]: 6450 [0], given: 122

Re: What is the value of a - b ? (1) a^2 - 2ab + b^2 = 16 (2) |a - b| = 4 [#permalink]

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12 Dec 2017, 05:27
Bunuel wrote:
What is the value of a - b ?

(1) a^2 - 2ab + b^2 = 16
(2) |a - b| = 4

1) $$a^2-2ab+b^2=16......(a-b)^2=16$$
So a-b can be 4 or -4
Insufficient

2) |a-b|=4
This tells us that the distance between a and b is 4, but value could be 4 or-4
Insufficient

Combined..
Both values 4 and -4 still possible..
Insufficient

E
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

BANGALORE/-

Kudos [?]: 6450 [0], given: 122

Re: What is the value of a - b ? (1) a^2 - 2ab + b^2 = 16 (2) |a - b| = 4   [#permalink] 12 Dec 2017, 05:27
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