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.
Three consecutive even integers have a sum of 102. If x repr
[#permalink]
24 Mar 2020, 06:33
24 Mar 2020, 06:33
Expert Reply
00:00
Question Stats:
83% (00:31) correct
16% (01:02) wrong based on 24 sessions
Hide Show timer Statistics
Three consecutive even integers have a sum of 102. If x represents the least number in the set, what equation can be used to determine the value of the sum of the integers?
A. x + (x + 1) + (x + 2) = 102
B. x + (x + 1) + (x + 3) = 102
C. x + (x + 2) + (x + 4) = 102
D. x + 2x + 4x = 102
E. x + x + x = 102
Kudos for the right answer and explanation
A. x + (x + 1) + (x + 2) = 102
B. x + (x + 1) + (x + 3) = 102
C. x + (x + 2) + (x + 4) = 102
D. x + 2x + 4x = 102
E. x + x + x = 102
Kudos for the right answer and explanation
Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1111
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
Re: Three consecutive even integers have a sum of 102. If x repr
[#permalink]
07 Jun 2020, 01:59
07 Jun 2020, 01:59
1
We have sum of three consecutive integers as 102 and the least integer as x
Now we know that we have alternate odd and even numbers
So, if x is even then next number x+1 will be odd and x+2 will become even
and next number x+3 is odd and x+4 will be even
=> Three consecutive even numbers will be x, x+2 and x+4
So, sum of three consecutive even numbers will be x + (x+2) + (x+4) = 102
So, answer will be C
Hope it helps!
Now we know that we have alternate odd and even numbers
So, if x is even then next number x+1 will be odd and x+2 will become even
and next number x+3 is odd and x+4 will be even
=> Three consecutive even numbers will be x, x+2 and x+4
So, sum of three consecutive even numbers will be x + (x+2) + (x+4) = 102
So, answer will be C
Hope it helps!
gmatclubot
Re: Three consecutive even integers have a sum of 102. If x repr [#permalink]
07 Jun 2020, 01:59
Moderators:
