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# If (c - a)/(c - b) = 2, then (5b - 5a)/(c - a) =

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Math Expert
Joined: 02 Sep 2009
Posts: 51035
If (c - a)/(c - b) = 2, then (5b - 5a)/(c - a) =  [#permalink]

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12 Dec 2015, 08:21
1
3
00:00

Difficulty:

15% (low)

Question Stats:

88% (02:04) correct 13% (02:35) wrong based on 100 sessions

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If (c - a)/(c - b) = 2, then (5b - 5a)/(c - a) =

A. 0.5
B. 1
C. 1.5
D. 2
E. 2.5

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Joined: 10 Mar 2013
Posts: 504
Location: Germany
Concentration: Finance, Entrepreneurship
GMAT 1: 580 Q46 V24
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Re: If (c - a)/(c - b) = 2, then (5b - 5a)/(c - a) =  [#permalink]

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12 Dec 2015, 08:33
Bunuel wrote:
If (c - a)/(c - b) = 2, then (5b - 5a)/(c - a) =

A. 0.5
B. 1
C. 1.5
D. 2
E. 2.5

Let's say c=5, b=3, a=1 so that our 1st expression holds true. Now, ibsert those numbers in the second expression and we'll get 2.5
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Intern
Joined: 11 Oct 2015
Posts: 3
GMAT 1: 700 Q49 V35
Re: If (c - a)/(c - b) = 2, then (5b - 5a)/(c - a) =  [#permalink]

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12 Dec 2015, 08:52
First equation gives us:
(c-a) = 2(c-b)
c = 2b-a

Plug into second equation: 5(b-a)/2(b-a) = 5/2

Thus, my answer would be E
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Re: If (c - a)/(c - b) = 2, then (5b - 5a)/(c - a) =  [#permalink]

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28 Oct 2017, 04:19
1
(c - a)/(c - b) = 2/1
(c-a)/(b-a)= 2/(2-1)= 2 , using Dividendo
(b-a)/(c-a) =1/2

Now Question asks for (5b - 5a)/(c - a) or 5( b-a)/(c-a)= 5/2 =2.5. Answer E
Re: If (c - a)/(c - b) = 2, then (5b - 5a)/(c - a) = &nbs [#permalink] 28 Oct 2017, 04:19
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