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# What is the ratio of a to b? (1) a – b +2c = 1 (2) 3a – 8b – 2c = –1

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Math Expert
Joined: 02 Sep 2009
Posts: 52152
What is the ratio of a to b? (1) a – b +2c = 1 (2) 3a – 8b – 2c = –1  [#permalink]

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28 Dec 2017, 20:34
00:00

Difficulty:

35% (medium)

Question Stats:

82% (01:15) correct 18% (00:59) wrong based on 23 sessions

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What is the ratio of a to b?

(1) a – b +2c = 1
(2) 3a – 8b – 2c = –1

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examPAL Representative
Joined: 07 Dec 2017
Posts: 867
Re: What is the ratio of a to b? (1) a – b +2c = 1 (2) 3a – 8b – 2c = –1  [#permalink]

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29 Dec 2017, 03:39
Bunuel wrote:
What is the ratio of a to b?

(1) a – b +2c = 1
(2) 3a – 8b – 2c = –1

We'll try playing around with the equations to get a ratio of a:b.
This is a Precise approach.

(1) We have no way to transform this equation into a:b.
Insufficient!

(2) Similarly to the above, we have one equation with 3 variables and no way to get to a:b.
Insufficient.

Combined:
Adding the 2 equations together causes 2c and 1 to cancel out giving 4a - 9b = 0.
Then 4a = 9b and we can solve the question! (There is no need to calculate...)
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Re: What is the ratio of a to b? (1) a – b +2c = 1 (2) 3a – 8b – 2c = –1 &nbs [#permalink] 29 Dec 2017, 03:39
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