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# If the sum of a and b is 6 and the product of a and b is 7, what is

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Joined: 02 Sep 2009
Posts: 43348

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If the sum of a and b is 6 and the product of a and b is 7, what is [#permalink]

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19 Sep 2017, 00:51
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89% (00:37) correct 11% (02:14) wrong based on 38 sessions

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If the sum of a and b is 6 and the product of a and b is 7, what is the value of a2 + b2?

A. 22
B. 24
C. 29
D. 36
E. 42
[Reveal] Spoiler: OA

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Kudos [?]: 139663 [0], given: 12794

Manager
Joined: 27 Dec 2016
Posts: 232

Kudos [?]: 55 [1], given: 249

Concentration: Social Entrepreneurship, Nonprofit
GPA: 3.65
WE: Sales (Consumer Products)
Re: If the sum of a and b is 6 and the product of a and b is 7, what is [#permalink]

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19 Sep 2017, 01:07
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Bunuel wrote:
If the sum of a and b is 6 and the product of a and b is 7, what is the value of a2 + b2?

A. 22
B. 24
C. 29
D. 36
E. 42

Question, what is the value of $$a^2 + b^2$$?

We can combine all of the information we have :
- $$(a+b)^2$$ = $$a^2+2ab+b^2$$
- $$(6)^2 = a^2+b^2+2(7)$$
- $$36-14=a^2+b^2$$
- So, $$a^2+b^2=22$$.

A.
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Joined: 13 Mar 2017
Posts: 561

Kudos [?]: 145 [0], given: 64

Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: If the sum of a and b is 6 and the product of a and b is 7, what is [#permalink]

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19 Sep 2017, 01:13
Bunuel wrote:
If the sum of a and b is 6 and the product of a and b is 7, what is the value of a2 + b2?

A. 22
B. 24
C. 29
D. 36
E. 42

a+b = 6
ab = 7
a^2 + b^2 = (a+b)^2 - 2ab = (6)^2 - 2*7 = 36 - 14 = 22

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Re: If the sum of a and b is 6 and the product of a and b is 7, what is   [#permalink] 19 Sep 2017, 01:13
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