GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 14 Aug 2018, 18:38

Close

GMAT 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 GMAT 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.

Close

Request Expert Reply

Confirm Cancel

Roy is now 4 years older than Erik and half of that amount

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Senior Manager
Senior Manager
User avatar
Status: Not afraid of failures, disappointments, and falls.
Joined: 20 Jan 2010
Posts: 278
Concentration: Technology, Entrepreneurship
WE: Operations (Telecommunications)
GMAT ToolKit User Premium Member
Roy is now 4 years older than Erik and half of that amount  [#permalink]

Show Tags

New post 14 Feb 2010, 01:56
2
13
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

75% (02:33) correct 25% (02:56) wrong based on 336 sessions

HideShow timer Statistics

Roy is now 4 years older than Erik and half of that amount older than Iris. If in 2 years, Roy will be twice as old as Erik, then in 2 years what would be Roy’s age multiplied by Iris’s age?

(a) 8
(b) 28
(c) 48
(d) 50
(e) 52

_________________

"I choose to rise after every fall"
Target=770
http://challengemba.blogspot.com
Kudos??

Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47898
Re: Plzz! explain the answer  [#permalink]

Show Tags

New post 14 Feb 2010, 15:03
4
4
AtifS wrote:
Roy is now 4 years older than Erik and half of that amount older than Iris. If in 2 years, Roy will be twice as old as Erik, then in 2 years what would be Roy’s age multiplied by Iris’s age?

(a) 8
(b) 28
(c) 48
(d) 50
(e) 52

Hmm! would you please! explain a bit how did u get 2nd & 3rd equations?
as if I take "If in 2 years, Roy will be twice as old as Erik" the n it means that
r+2=2e -- 2nd

and I didn't get these words "and half of that amount older than Iris" plzz! explain it.

Any help would be highly appreciated.


Roy is now 4 years older than Erik --> \(R=E+4\)
Roy is now ... half of that amount older than Iris --> \(R=I+\frac{4}{2}=I+2\) (half of the amount of 4)
In 2 years, Roy will be twice as old as Erik --> \(R+2=2(E+2)\) (in 2 years for both Roy and Eric)

Then in 2 years what would be Roy’s age multiplied by Iris’s age --> \((R+2)(I+2)=?\)

Solving: \(R=6\) and \(I=4\) --> \((R+2)(I+2)=48\)

Answer: C.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Most Helpful Community Reply
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1835
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: Roy is now 4 years older than Erik and half of that amount  [#permalink]

Show Tags

New post 11 Aug 2014, 03:18
5
Roy .............. Erik ............ Iris

x+4 ................ x .................. x+2 .................. Current Ages

(Roy 4 yrs older than Erik & 2 yrs older than Iris)

Ages after 2 yrs

x+6 ................ x+2 .................. x+4

x+6 = 2(x+2) ........ Roy is twice the age of Erik

x = 2

Roy * Iris = 8 * 6 = 48

Answer = C
_________________

Kindly press "+1 Kudos" to appreciate :)

General Discussion
Manager
Manager
avatar
Joined: 26 May 2005
Posts: 193
Re: Plzz! explain the answer  [#permalink]

Show Tags

New post 14 Feb 2010, 02:28
r=e+4 -- 1st
4=i+2 .. 2nd

in 2 years
r+ 2 = 2 * (I+2) .. 3rd

solving 1st and 3rd equation we get r=6, i = 2, and using 2nd equation we get i=4

so in 2 years r=8 and i=6, product =48

C
Senior Manager
Senior Manager
User avatar
Status: Not afraid of failures, disappointments, and falls.
Joined: 20 Jan 2010
Posts: 278
Concentration: Technology, Entrepreneurship
WE: Operations (Telecommunications)
GMAT ToolKit User Premium Member
Re: Plzz! explain the answer  [#permalink]

Show Tags

New post 14 Feb 2010, 11:40
Hmm! would you please! explain a bit how did u get 2nd & 3rd equations?
as if I take "If in 2 years, Roy will be twice as old as Erik" the n it means that
r+2=2e -- 2nd

and I didn't get these words "and half of that amount older than Iris" plzz! explain it.

Any help would be highly appreciated.
_________________

"I choose to rise after every fall"
Target=770
http://challengemba.blogspot.com
Kudos??

Senior Manager
Senior Manager
User avatar
Status: Not afraid of failures, disappointments, and falls.
Joined: 20 Jan 2010
Posts: 278
Concentration: Technology, Entrepreneurship
WE: Operations (Telecommunications)
GMAT ToolKit User Premium Member
Re: Plzz! explain the answer  [#permalink]

Show Tags

New post 15 Feb 2010, 07:20
Bunuel wrote:
AtifS wrote:
Hmm! would you please! explain a bit how did u get 2nd & 3rd equations?
as if I take "If in 2 years, Roy will be twice as old as Erik" the n it means that
r+2=2e -- 2nd

and I didn't get these words "and half of that amount older than Iris" plzz! explain it.

Any help would be highly appreciated.


Roy is now 4 years older than Erik --> \(R=E+4\)
Roy is now ... half of that amount older than Iris --> \(R=I+\frac{4}{2}=I+2\) (half of the amount of 4)
In 2 years, Roy will be twice as old as Erik --> \(R+2=2(E+2)\) (in 2 years for both Roy and Eric)

Then in 2 years what would be Roy’s age multiplied by Iris’s age --> \((R+2)(I+2)=?\)

Solving: \(R=6\) and \(I=4\) --> \((R+2)(I+2)=48\)



Thanks for explanation, Actually i couldn't get the equation with I otherwise I had solved other equations instead of this one

\(R=I+\frac{4}{2}=I+2\) (half of the amount of 4)

looks like have to work on Word Problems.
thanks again and Kudos
couldn't get this part (half of the amount of 4)
_________________

"I choose to rise after every fall"
Target=770
http://challengemba.blogspot.com
Kudos??

Manager
Manager
avatar
B
Joined: 13 Feb 2011
Posts: 93
GMAT ToolKit User
Re: Roy is now 4 years older than Erik and half of that amount  [#permalink]

Show Tags

New post 20 Aug 2014, 13:16
I did this with back-solving and fortunately struck gold in the first attempt itself, i.e. testing with C.
Senior Manager
Senior Manager
User avatar
Joined: 20 Aug 2015
Posts: 392
Location: India
GMAT 1: 760 Q50 V44
Re: Roy is now 4 years older than Erik and half of that amount  [#permalink]

Show Tags

New post 23 Nov 2015, 02:55
AtifS wrote:
Roy is now 4 years older than Erik and half of that amount older than Iris. If in 2 years, Roy will be twice as old as Erik, then in 2 years what would be Roy’s age multiplied by Iris’s age?

(a) 8
(b) 28
(c) 48
(d) 50
(e) 52


Since we have been given everything in terms of the of Erik, Let us assume the age of Erik to be E
And, the term " half of that amount" refers to the value 4.

Attachment:
Erik age.JPG
Erik age.JPG [ 13.97 KiB | Viewed 10574 times ]


E + 6 = 2E + 4
E = 2
Therefore, (Roy's age)* (Iris's age) = 8*6 = 48 Option C
Intern
Intern
avatar
Joined: 02 Feb 2011
Posts: 39
Re: Roy is now 4 years older than Erik and half of that amount  [#permalink]

Show Tags

New post 18 Feb 2016, 11:58
Folks

Please help me understand;

interpreted the Q stem incorrectly

Roy is now 4 years older than Erik and half of that amount older than Iris. If in 2 years, Roy will be twice as old as Erik, then in 2 years what would be Roy’s age multiplied by Iris’s age

'half of that amount' -- I interpreted as r= i+ 1/2(e+4)

How do i know half of that amount means - half of '4 years older'
Current Student
User avatar
B
Status: DONE!
Joined: 05 Sep 2016
Posts: 398
Re: Roy is now 4 years older than Erik and half of that amount  [#permalink]

Show Tags

New post 18 Oct 2016, 09:40
We can derive the following equations:

R=4+E --> (2 years later) --> R+2=2(E+2) solves to give E=2 & R=6 --> (2 years down the road) --> R = 8
R=2+I --> I = 4 -->(2 years later) --> I=6

6x8 = 48
Manager
Manager
User avatar
B
Status: IF YOU CAN DREAM IT, YOU CAN DO IT
Joined: 03 Jul 2017
Posts: 209
Location: India
Concentration: Finance, International Business
Re: Roy is now 4 years older than Erik and half of that amount  [#permalink]

Show Tags

New post 12 Jul 2018, 19:35
this is my method of solving . Can someone correct me in which step am i going wrong ?
So the first equation is R=4+E
So R is half of that amount older than I. So why cant the equation be 4+E/2 +I
whats wrong in this formulation of the statement??
So in this case R +2 = 8 and I+2= 5
So the answer is 40
Re: Roy is now 4 years older than Erik and half of that amount &nbs [#permalink] 12 Jul 2018, 19:35
Display posts from previous: Sort by

Roy is now 4 years older than Erik and half of that amount

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.