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# If a + 3a is 4 less than b + 3b, then a – b =

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Math Expert
Joined: 02 Sep 2009
Posts: 58428
If a + 3a is 4 less than b + 3b, then a – b =  [#permalink]

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Updated on: 07 Jul 2019, 00:20
00:00

Difficulty:

35% (medium)

Question Stats:

80% (01:06) correct 20% (01:52) wrong based on 15 sessions

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If a + 3a is 4 less than b + 3b, then a – b =

(A) –4
(B) –1
(C) 1/5
(D) 1/3
(E) 2

Source: Nova GMAT
Difficulty Level: 600

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Originally posted by Bunuel on 09 Apr 2019, 21:54.
Last edited by SajjadAhmad on 07 Jul 2019, 00:20, edited 1 time in total.
Senior Manager
Joined: 25 Feb 2019
Posts: 336
Re: If a + 3a is 4 less than b + 3b, then a – b =  [#permalink]

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09 Apr 2019, 22:07
1
from thw given condition,

b+3b -a-3a = 4

rearrange ,

b-a + 3b - 3a = 4

b-a + 3(b-a) = 4

(b-a)(1+3) = 4

b-a = 4/4
b-a = 1
a-b = -1

award kudos if helpful

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Joined: 06 Jan 2015
Posts: 689
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
Re: If a + 3a is 4 less than b + 3b, then a – b =  [#permalink]

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09 Apr 2019, 22:11
1
Bunuel wrote:
If a + 3a is 4 less than b + 3b, then a – b =

(A) –4
(B) –1
(C) 1/5
(D) 1/3
(E) 2

a + 3a is 4 less than b + 3b ==> 4a=4b-4 ==> 4a-4b = -4==> a-b =-1

Hence B
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Manager
Joined: 17 May 2018
Posts: 140
Location: India
Re: If a + 3a is 4 less than b + 3b, then a – b =  [#permalink]

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09 Apr 2019, 22:42
4a=4b-4
a=b-1
a-b=-1
IMO B

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Re: If a + 3a is 4 less than b + 3b, then a – b =   [#permalink] 09 Apr 2019, 22:42
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# If a + 3a is 4 less than b + 3b, then a – b =

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