Last visit was: 03 Jan 2025, 07:24 It is currently 03 Jan 2025, 07:24
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

If a + b = 20, then (a + b/2) + (b + a/2) =

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
B
amorphous
Retired Moderator
Joined: 07 Jan 2018
Posts: 739
Own Kudos [?]: 1462 [2]
Given Kudos: 93
Send PM

Top Member of the Month
If a + b = 20, then (a + b/2) + (b + a/2) = [#permalink] New post   06 Feb 2018, 21:05
1
1
Bookmarks
00:00

Question Stats:

65% (01:08) correct 34% (00:37) wrong based on 23 sessions

Hide Show timer Statistics

If a + b = 20, then (a + b/2) + (b + a/2) =

A) 10
B) 20
C) 30
D) 40
E) 50
ShowHide Answer
Official Answer
C
User avatar
SherpaPrep
Sherpa Prep Representative
Joined: 15 Jan 2018
Posts: 147
Own Kudos [?]: 364 [0]
Given Kudos: 0
Send PM
Re: If a + b = 20, then (a + b/2) + (b + a/2) = [#permalink] New post   06 Feb 2018, 22:16
1
Expert Reply
Notice that if you just add the terms you get a simple question:

(a + b/2) + (b + a/2) = 1.5a + 1.5b = ?

Then you can factor:

1.5a + 1.5b = 1.5(a + b)

and since we know a + b = 20, then 1.5(a + b) = 30
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12245 [0]
Given Kudos: 136
Send PM

Top Member of the Month
Re: If a + b = 20, then (a + b/2) + (b + a/2) = [#permalink] New post   17 Feb 2018, 11:38
1
amorphous wrote:
If a + b = 20, then (a + b/2) + (b + a/2) =

A) 10
B) 20
C) 30
D) 40
E) 50


Here's another approach:

GOAL: find the value of (a + b/2) + (b + a/2)

GIVEN: a + b = 20
Let's take some values of a and b that satisfy the equation a+b = 20, and plug them into our goal expression...

Well, a = 20 and b = 0 satisfy the equation a + b = 20

Now take (a + b/2) + (b + a/2), and replace a and b with 20 and b = 0
We get: (a + b/2) + (b + a/2) = (20 + 0/2) + (0 + 20/2)
= (20 + 0) + (0 + 10)
= 20 + 10
= 30

Answer: C

Cheers,
Brent
avatar
matayo
Intern
Intern
Joined: 17 Feb 2018
Posts: 9
Own Kudos [?]: 2 [0]
Given Kudos: 0
Send PM
Re: If a + b = 20, then (a + b/2) + (b + a/2) = [#permalink] New post   17 Feb 2018, 16:22
SherpaPrep wrote:
Notice that if you just add the terms you get a simple question:

(a + b/2) + (b + a/2) = 1.5a + 1.5b = ?

Then you can factor:

1.5a + 1.5b = 1.5(a + b)

and since we know a + b = 20, then 1.5(a + b) = 30


I just used random numbers to plug in and solve, not sure if it would work in any case however.
User avatar
boxing506
Manager
Manager
Joined: 26 Jun 2017
Posts: 102
Own Kudos [?]: 71 [0]
Given Kudos: 0
Send PM
Re: If a + b = 20, then (a + b/2) + (b + a/2) = [#permalink] New post   05 Mar 2018, 08:26
the most confident approach is the algebraic one -- the property does not change if you change the sides of the properties because all in all you are adding. So, a+b=20, 20+ a/2+b/2. Then the LCM of the numbers is 2 giving (40+a+b)/2=30
avatar
B
ARcticon
Intern
Intern
Joined: 13 Aug 2024
Posts: 10
Own Kudos [?]: 10 [1]
Given Kudos: 4
Send PM
Re: If a + b = 20, then (a + b/2) + (b + a/2) = [#permalink] New post   27 Oct 2024, 01:02
1
A word of warning: I understood the Question as follows:

(a+b)/2 + (b+a)/2=

Because a+b=b+a

Conclusion: 10+10=20

Answer B

Which is obviously not the Case.


So dont get yourself confused
Prep Club for GRE Bot
gmatclubot
Re: If a + b = 20, then (a + b/2) + (b + a/2) = [#permalink]
27 Oct 2024, 01:02
Moderators:
adewale223
GRE Instructor
88 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1126 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact