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# If (a + 2b)/(11b - 2a) = 2

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If (a + 2b)/(11b - 2a) = 2 [#permalink]  23 Mar 2018, 17:17
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Question Stats:

78% (00:35) correct 21% (01:43) wrong based on 14 sessions
If $$\frac{(a + 2b)}{(11b - 2a)} = 2$$, which of the following must be true about the relationship between a and b?

A. a is 15 more than b.

B. b is 15 more than a.

C. a is $$\frac{1}{4}$$ of b.

D. a is 4 times b.

E. a is $$\frac{3}{5}$$ of b.
[Reveal] Spoiler: OA

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Re: If (a + 2b)/(11b - 2a) = 2 [#permalink]  25 Mar 2018, 19:24
1
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Let's try to simplify this equation. Firstly, we have:

\frac{(a + 2b)}{(11b - 2a)} = 2,

Cross-multiplying gets us:

a + 2b = 2(11b - 2a)

Multiply out the right side:

a + 2b = 22b - 4a

Collect terms:

5a = 20b

Divide by 5:

a = 4b

From here we recognize that D is the answer. Be careful of trap answer C! That would be correct if we finished at 4a = b.
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Re: If (a + 2b)/(11b - 2a) = 2   [#permalink] 25 Mar 2018, 19:24
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