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# What is the value of (4a - 3b)/(a - 2b)?

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
What is the value of (4a - 3b)/(a - 2b)?  [#permalink]

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21 Mar 2018, 04:24
00:00

Difficulty:

55% (hard)

Question Stats:

53% (01:34) correct 47% (01:48) wrong based on 67 sessions

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What is the value of (4a - 3b)/(a - 2b)?

(1) (3a - b)/(a - 2b) = 1

(2) a - b = 3

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Joined: 07 Jan 2016
Posts: 938
Location: India
GMAT 1: 710 Q49 V36
Re: What is the value of (4a - 3b)/(a - 2b)?  [#permalink]

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21 Mar 2018, 04:43
1
Bunuel wrote:
What is the value of (4a - 3b)/(a - 2b)?

(1) (3a - b)/(a - 2b)

(2) a - b = 3

Bunuel shouldn't option 1 have a value? it doesn't make sense to me
Math Expert
Joined: 02 Sep 2009
Posts: 53066
Re: What is the value of (4a - 3b)/(a - 2b)?  [#permalink]

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21 Mar 2018, 04:47
Hatakekakashi wrote:
Bunuel wrote:
What is the value of (4a - 3b)/(a - 2b)?

(1) (3a - b)/(a - 2b)

(2) a - b = 3

Bunuel shouldn't option 1 have a value? it doesn't make sense to me

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Yes. Edited. Thank you.
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Joined: 07 Jan 2016
Posts: 938
Location: India
GMAT 1: 710 Q49 V36
What is the value of (4a - 3b)/(a - 2b)?  [#permalink]

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21 Mar 2018, 04:56
Bunuel wrote:
What is the value of (4a - 3b)/(a - 2b)?

(1) (3a - b)/(a - 2b) = 1

(2) a - b = 3

1) 3a-b = a - 2b

2a = -b

substitue and solve

sufficient

2) a-b =3

a= b+3

4b + 12 - 3b/ b+3 - 2b = b+12/3-b

insufficient

(A) imo
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Joined: 21 Aug 2013
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Location: India
Re: What is the value of (4a - 3b)/(a - 2b)?  [#permalink]

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21 Mar 2018, 22:16
Hatakekakashi wrote:
Bunuel wrote:
What is the value of (4a - 3b)/(a - 2b)?

(1) (3a - b)/(a - 2b) = 1

(2) a - b = 3

1) 3a-b = a - 2b

2a = b

4a-3b/a-2b = 4a- 6a/a-4a = -2a/-3a = 2/3

sufficient

2) a-b =3

a= b+3

4b + 12 - 3b/ b+3 - 2b = b+12/3-b

insufficient

(A) imo

Hello

I also think answer would be A.

Just that in first statement,
3a-b = a-2b... so this will give us 2a = -b or b= -2a.
Intern
Joined: 03 Mar 2018
Posts: 30
GMAT 1: 620 Q44 V31
Re: What is the value of (4a - 3b)/(a - 2b)?  [#permalink]

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21 Mar 2018, 22:28
Bunuel wrote:
What is the value of (4a - 3b)/(a - 2b)?

(1) (3a - b)/(a - 2b) = 1

(2) a - b = 3

Statement 1
(3a - b)=(a - 2b)
3a - a = b - 2b
2a = -b or b = -2a

substituting it

4a - 3(-2a) / a - 2(-2a)
= 4a + 6a / a + 4a
= 10a / 5a
= 2 (Sufficient)

Statement 2
a - b = 3
a = b + 3

substituting it

4(b + 3) / b + 3 - 2b
=4b + 12 / -b + 3 (Insufficient)

Please correct me if I'm wrong. This is how I solved it! Answer is A
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KUDOS appreciated!

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Joined: 07 Jan 2016
Posts: 938
Location: India
GMAT 1: 710 Q49 V36
Re: What is the value of (4a - 3b)/(a - 2b)?  [#permalink]

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21 Mar 2018, 23:13
amanvermagmat wrote:
Hatakekakashi wrote:
Bunuel wrote:
What is the value of (4a - 3b)/(a - 2b)?

(1) (3a - b)/(a - 2b) = 1

(2) a - b = 3

1) 3a-b = a - 2b

2a = b

4a-3b/a-2b = 4a- 6a/a-4a = -2a/-3a = 2/3

sufficient

2) a-b =3

a= b+3

4b + 12 - 3b/ b+3 - 2b = b+12/3-b

insufficient

(A) imo

Hello

I also think answer would be A.

Just that in first statement,
3a-b = a-2b... so this will give us 2a = -b or b= -2a.

ah thanks
edited :D
Manager
Joined: 01 Feb 2017
Posts: 188
Re: What is the value of (4a - 3b)/(a - 2b)?  [#permalink]

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28 Mar 2018, 04:02
Expanding (4a-3b) to (3a-b+a-2b) = (3a-b)+(a-2b)

St.1 states that (3a-b)=(a-2b)
Therefore, value of (4a-3b)/(a-2b) = 1+1 = 2. Sufficient

St.2 Insufficient. This equation cannot be manipulated to find the answer.

Hence, Ans A

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Re: What is the value of (4a - 3b)/(a - 2b)?   [#permalink] 28 Mar 2018, 04:02
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