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a + b = 5, b + c = 12, and c + a = 13. What is a + b + c?
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24 Nov 2021, 09:57
24 Nov 2021, 09:57
Expert Reply
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Question Stats:
78% (01:12) correct
21% (00:39) wrong based on 32 sessions
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a + b = 5, b + c = 12, and c + a = 13. What is a + b + c?
(A) 13
(B) 15
(C) 17
(D) 19
(E) 20
(A) 13
(B) 15
(C) 17
(D) 19
(E) 20
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Joined: 10 Apr 2015
Posts: 6218
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Re: a + b = 5, b + c = 12, and c + a = 13. What is a + b + c?
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24 Nov 2021, 12:13
24 Nov 2021, 12:13
3
Carcass wrote:
a + b = 5, b + c = 12, and c + a = 13. What is a + b + c?
(A) 13
(B) 15
(C) 17
(D) 19
(E) 20
(A) 13
(B) 15
(C) 17
(D) 19
(E) 20
Given: a + b = 5, b + c = 12, and c + a = 13
Add the 3 equations to get: (a + b) + (b + c) + (c + a) = 5 + 12 + 13
Simplify: 2a + 2b + 2c = 30
In other words: 2(a + b + c) = 30
Divide both sides by 2 to get: a + b + c = 15
Answer: B
General Discussion
Re: a + b = 5, b + c = 12, and c + a = 13. What is a + b + c?
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13 May 2025, 11:54
13 May 2025, 11:54
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
