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# What is the value of a + b? (1) a^2 + b^2= 9 – 2ab (2) a = 4 + b

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Math Expert
Joined: 02 Sep 2009
Posts: 54370
What is the value of a + b? (1) a^2 + b^2= 9 – 2ab (2) a = 4 + b  [#permalink]

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10 Sep 2017, 04:43
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Difficulty:

45% (medium)

Question Stats:

59% (01:23) correct 41% (00:46) wrong based on 28 sessions

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What is the value of a + b?

(1) a^2 + b^2= 9 – 2ab
(2) a = 4 + b

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Re: What is the value of a + b? (1) a^2 + b^2= 9 – 2ab (2) a = 4 + b  [#permalink]

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10 Sep 2017, 12:42
Bunuel wrote:
What is the value of a + b?

(1) a^2 + b^2= 9 – 2ab
(2) a = 4 + b

Statement 1: $$a^2+b^2+2ab = 9$$ or $$(a+b)^2 = 9$$
therefore $$a+b = 3$$ or $$-3$$. Hence Insufficient

Statement 2: $$a = 4 +b$$. Two variables, one equation cannot be solved. Hence Insufficient

Combining 1 & 2 we will get two values of both $$a$$ & $$b$$. Hence Insufficient

Option E
Re: What is the value of a + b? (1) a^2 + b^2= 9 – 2ab (2) a = 4 + b   [#permalink] 10 Sep 2017, 12:42
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