GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
4a + b = 22, a + 3b = 23
[#permalink]
26 Nov 2021, 05:59
26 Nov 2021, 05:59
Expert Reply
00:00
Question Stats:
92% (01:00) correct
7% (01:01) wrong based on 14 sessions
Hide Show timer Statistics
4a + b = 22
a + 3b = 23
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
a + 3b = 23
Quantity A |
Quantity B |
-3a+2b |
0 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: 4a + b = 22, a + 3b = 23
[#permalink]
26 Nov 2021, 06:09
26 Nov 2021, 06:09
1
Carcass wrote:
4a + b = 22
a + 3b = 23
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
a + 3b = 23
Quantity A |
Quantity B |
-3a+2b |
0 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
To make it easier to follow the solution, let's arrange our two equations as follows:
a + 3b = 23
4a + b = 22
If we subtract the bottom equation from the top equation we get: (a + 3b) - (4a + b) = 23 - 22
Simplify: -3a + 2b = 1
So we have:
QUANTITY A: -3a+2b = 1
QUANTITY B: 0
Answer: A
gmatclubot
Re: 4a + b = 22, a + 3b = 23 [#permalink]
26 Nov 2021, 06:09
Moderators:
