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If (a + 2b)/(11b - 2a) = 2
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23 Mar 2018, 17:17
23 Mar 2018, 17:17
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Expert Reply
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Question Stats:
76% (00:37) correct
23% (01:44) wrong based on 21 sessions
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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.
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.
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Joined: 15 Jan 2018
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Re: If (a + 2b)/(11b - 2a) = 2
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25 Mar 2018, 19:24
25 Mar 2018, 19:24
1
Expert Reply
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.
\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.
gmatclubot
Re: If (a + 2b)/(11b - 2a) = 2 [#permalink]
25 Mar 2018, 19:24
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