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shameekv1989
What is the value of \(\frac{(2a+6a−3b)}{(2a−b)}\)?

(1) \(\frac{−2a}{b−2a}\)=8

(2) \(6a – 3b = 3\)

\(\frac{(2a+6a−3b)}{(2a−b)}\) = \(\frac{2a}{(2a−b)}\)+\(\frac{3(2a−b)}{(2a−b)}\) = \(\frac{(2a)}{(2a−b)}\)+3

i) \(\frac{−2a}{b−2a}\)=8 -> Sufficient as it gives me the value of \(\frac{2a}{2a-b}\)

ii) 2a-b = 1 (we don't know what 2a is though) - Not Sufficient

Answer - A

Why is OA C?

Shameek,my friend. I couldn't agree more! I did exactly what you did and I obtained (A) as well with full conviction.

Bunuel, can you clarify this please?
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OA should be A

Statement 1 gives ratio subsequently providing the final answer of 11.
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ajgoupil
What is the value of \(\frac{(2a + 6a − 3b)}{(2a − b)}\)?

(1) \(\frac{−2a}{b − 2a}\)=8

(2) 6a – 3b = 3

8a -3b / 2a -b = ?

1)-2a = 8b -16a
14a = 8b
7a = 4b or, a = 4b/7

Now, by substituting a, we get the value of the equation as 11. sufficient.

2) 6a - 3b = 3 or, 2a - b =1 or, b = 2a

if we substitute b in the original equation, we will get 2a/ 0, since it is undetermined, so not sufficient.

A is the answer.
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