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If (a + 2b)/(17b - 2a) = 1, which of the following must be true about

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If (a + 2b)/(17b - 2a) = 1, which of the following must be true about  [#permalink]

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New post 28 Aug 2018, 05:25
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If \(\frac{(a+2b)}{(17b-2a)}=1\), which of the following must be true about the relationship between a and b?


A. a is 3 more than b.

B. b is 3 more than a.

C. a is \(\frac{1}{5}\) of b.

D. a is 5 times b.

E. a is \(\frac{3}{5}\) of b.

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Re: If (a + 2b)/(17b - 2a) = 1, which of the following must be true about  [#permalink]

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New post 28 Aug 2018, 05:40
Bunuel wrote:
If \(\frac{(a+2b)}{(17b-2a)}=1\), which of the following must be true about the relationship between a and b?


A. a is 3 more than b.

B. b is 3 more than a.

C. a is \(\frac{1}{5}\) of b.

D. a is 5 times b.

E. a is \(\frac{3}{5}\) of b.


Simplifying the given expression,
\(\frac{(a+2b)}{(17b-2a)}=1\)
Or, a+2b=17b-2a
Or, 3a=15b
Or, a=5*b
Or, a is 5 times b.

Ans. (D)
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Re: If (a + 2b)/(17b - 2a) = 1, which of the following must be true about  [#permalink]

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New post 28 Aug 2018, 06:06
Bunuel wrote:
If \(\frac{(a+2b)}{(17b-2a)}=1\), which of the following must be true about the relationship between a and b?


A. a is 3 more than b.

B. b is 3 more than a.

C. a is \(\frac{1}{5}\) of b.

D. a is 5 times b.

E. a is \(\frac{3}{5}\) of b.

\(\frac{(a+2b)}{(17b-2a)}=1\)

Or, \(a + 2b = 17b - 2a\)

Or, \(3a = 15b\)

Or, \(a = 5b\), Answer must be (D)
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Re: If (a + 2b)/(17b - 2a) = 1, which of the following must be true about  [#permalink]

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New post 30 Aug 2018, 17:04
Bunuel wrote:
If \(\frac{(a+2b)}{(17b-2a)}=1\), which of the following must be true about the relationship between a and b?


A. a is 3 more than b.

B. b is 3 more than a.

C. a is \(\frac{1}{5}\) of b.

D. a is 5 times b.

E. a is \(\frac{3}{5}\) of b.


Simplifying, we have:

a + 2b = 17b - 2a

3a = 15b

a = 5b

So a is 5 times b.

Answer: D
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Re: If (a + 2b)/(17b - 2a) = 1, which of the following must be true about &nbs [#permalink] 30 Aug 2018, 17:04
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