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

Question

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

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APram · Answer

This can be solved by direct assumption
Take a=3, b =4, c=5
This satisfies the given equation

So required equation becomes (5×4-5×3)/(5-3) =5/2 =2.5

Hence E is answer

Souradeep17 · Answer

c-a=2(c-b)
c=2b-a
c-a=2b-2a

5b-5a/c-a
5(b-a)/2(b-a)  
5/2=2.5 (E)

findingmyself · Answer

Easy solution, Take Values of A , B and C which will satisfy the condition

I am considering here C=8, A=4 and B=6
(8-4)/(8-6)=4/2=2

Now let's consider (5b-5a)/(c-a)
=(30-20)/4=2.5

BadukMagician · Answer

Here I think its a great idea to plug in numbers, so let's do that

(c-a)/(c-b) = 2
If we plug in values that make this true we could have
c = 3, b = 2, a = 1
Try it out yourself.

(5b - 5a) / (c-a)
(5(2) - 5(1)) / (2)
(10 - 5) / 2
5/2
2 & 1/2 =  2.5 Answer E

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