NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 12:12 It is currently 24 Apr 2024, 12:12
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Three years from now, Dathan will be three times as old as E

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
avohden
Senior Manager
Senior Manager
Joined: 09 Jul 2013
Status:1,750 Q's attempted and counting
Affiliations: University of Florida
Posts: 421
Own Kudos [?]: 2976 [14]
Given Kudos: 630
Location: United States (FL)
Schools: Warrington (A)
GMAT 1: 570 Q42 V28
GMAT 2: 610 Q44 V30
GMAT 3: 600 Q45 V29
GMAT 4: 590 Q35 V35
GPA: 3.45
WE:Accounting (Accounting)
Send PM
Three years from now, Dathan will be three times as old as E [#permalink] New post   Updated on: 23 Oct 2013, 00:45
14
Bookmarks
00:00
A
B
C
D
E

Difficulty:

55% (hard)

Question Stats:

70% (02:37) correct 30% (02:46) wrong based on 472 sessions
Hide Show timer Statistics
Three years from now, Dathan will be three times as old as Ellen and Ellen will be six years younger than Famke. If Dathan's age is three years less than twice Famke's age, how old is Famke?

(A) 9
(B) 15
(C) 21
(D) 27
(E) 33

GH-10.18.13 -OE to follow
ShowHide Answer
Official Answer
A

Originally posted by avohden on 22 Oct 2013, 20:00.
Last edited by Bunuel on 23 Oct 2013, 00:45, edited 1 time in total.
Renamed the topic and edited the question.
Most Helpful Reply
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92902
Own Kudos [?]: 618795 [5]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
Re: Three years from now, Dathan will be three times as old as E [#permalink] New post   23 Oct 2013, 00:57
3
Kudos
2
Bookmarks
Expert Reply
avohden wrote:
Three years from now, Dathan will be three times as old as Ellen and Ellen will be six years younger than Famke. If Dathan's age is three years less than twice Famke's age, how old is Famke?

(A) 9
(B) 15
(C) 21
(D) 27
(E) 33

GH-10.18.13 -OE to follow


Three years from now, Dathan will be three times as old as Ellen: D + 3 = 3(E+3) --> D = 3E + 6.

Three years from now, Ellen will be six years younger than Famke: E +3 = (F + 3) - 6 --> E = F - 6.

Dathan's age (now) is three years less than twice Famke's age: D = 2F - 3.

From (I) and (III): 3E + 6 = 2F - 3 --> 3E = 2F - 9.
Since from (II) E = F - 6, then 3(F - 6) = 2F - 9 --> F = 9.

Answer: A.
General Discussion
User avatar
avohden
Senior Manager
Senior Manager
Joined: 09 Jul 2013
Status:1,750 Q's attempted and counting
Affiliations: University of Florida
Posts: 421
Own Kudos [?]: 2976 [1]
Given Kudos: 630
Location: United States (FL)
Schools: Warrington (A)
GMAT 1: 570 Q42 V28
GMAT 2: 610 Q44 V30
GMAT 3: 600 Q45 V29
GMAT 4: 590 Q35 V35
GPA: 3.45
WE:Accounting (Accounting)
Send PM
Re: Three years from now, Dathan will be three times... [#permalink] New post   23 Oct 2013, 07:44
1
Kudos
Official Explanation

Answer: A Three years from now, Dathan's age will be d + 3, Ellen's will be e + 3, and Famke will be f + 3. Thus, three years from now, (d + 3) = 3(e + 3), and (e + 3) = (f + 3) - 6. We also know that d = 2f - 3 from the last sentence. Line up and simplify the equations:

d + 3 = 3e + 9, or d = 3e + 6 -----> e + 3 = f - 3 ------> d = 2f - 3

Since the first and third equations are set equal to d, combine them: 3e + 6 = 2f - 3

Now there are two equations, each of which has the same two variables, e and f: e + 3 = f - 3, or e = f - 6 ----> 3e + 6 = 2f - 3

Substitute the value of e from the first equation into the second:
3(f - 6) + 6 = 2f - 3 ----> 3f - 18 + 6 = 2f - 3 -----> 3f - 9 = 2f -----> f = 9, choice (A).

Hope it helps
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92902
Own Kudos [?]: 618795 [0]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
Re: Three years from now, Dathan will be three times as old as E [#permalink] New post   23 Oct 2013, 01:14
Expert Reply
Bunuel wrote:
avohden wrote:
Three years from now, Dathan will be three times as old as Ellen and Ellen will be six years younger than Famke. If Dathan's age is three years less than twice Famke's age, how old is Famke?

(A) 9
(B) 15
(C) 21
(D) 27
(E) 33

GH-10.18.13 -OE to follow


Three years from now, Dathan will be three times as old as Ellen: D + 3 = 3(E+3) --> D = 3E + 6.

Three years from now, Ellen will be six years younger than Famke: E +3 = (F + 3) - 6 --> E = F - 6.

Dathan's age (now) is three years less than twice Famke's age: D = 2F - 3.

From (I) and (III): 3E + 6 = 2F - 3 --> 3E = 2F - 9.
Since from (II) E = F - 6, then 3(F - 6) = 2F - 9 --> F = 9.

Answer: A.


Similar "age" problems to practice:
today-rose-is-twice-as-old-as-sam-and-sam-is-3-years-younger-131477.html
jack-is-now-14-years-older-than-bill-if-in-10-years-jack-144435.html
age-problem-m03q13-74810.html
if-father-s-age-is-1-less-than-twice-the-son-s-age-what-is-126832.html
john-is-20-years-older-than-brian-12-years-ago-john-was-132135.html
8-years-ago-george-was-half-as-old-as-sarah-sarah-is-now-132076.html
in-ten-years-david-will-be-four-times-as-old-as-aaron-twen-104243.html
roy-is-now-4-years-older-than-erik-and-half-of-that-amount-90386.html

Hope it helps.
avatar
PareshGmat
SVP
SVP
Joined: 27 Dec 2012
Status:The Best Or Nothing
Posts: 1562
Own Kudos [?]: 7208 [0]
Given Kudos: 193
Location: India
Concentration: General Management, Technology
WE:Information Technology (Computer Software)
Send PM
Re: Three years from now, Dathan will be three times as old as E [#permalink] New post   25 Feb 2014, 03:18
avohden wrote:
Three years from now, Dathan will be three times as old as Ellen and Ellen will be six years younger than Famke. If Dathan's age is three years less than twice Famke's age, how old is Famke?

(A) 9
(B) 15
(C) 21
(D) 27
(E) 33

GH-10.18.13 -OE to follow


Let the present ages of Dathan, Ellen & Famke be d , e & f

So from the information given in the question, we get the following 3 equations:

d+3 = 3(e+3)
e = f-6
d = 2f - 3

Solving the above 3 equations, we get Famke = 9 yrs = Answer = A
User avatar
P
mvictor
Board of Directors
Joined: 17 Jul 2014
Posts: 2163
Own Kudos [?]: 1180 [0]
Given Kudos: 236
Location: United States (IL)
Concentration: Finance, Economics
Schools: Stanford '20 (WD)
GMAT 1: 650 Q49 V30
GPA: 3.92
WE:General Management (Transportation)
Send PM
GMAT ToolKit User Reviews Badge
Re: Three years from now, Dathan will be three times as old as E [#permalink] New post   28 Dec 2015, 16:35
D+3=3(E+3)
E+3=(F+3)-6
D=2F-3.

E+3=F-3 or E=F-6.
D+3=3(F-6+3)
D+3=3F-9
D=3F-12.
now, we have D=2F-3.

2F-3=3F-12
9=F.

F=9. A.
User avatar
L
KarishmaB
Tutor
Joined: 16 Oct 2010
Posts: 14817
Own Kudos [?]: 64899 [0]
Given Kudos: 426
Location: Pune, India
Send PM
Re: Three years from now, Dathan will be three times as old as E [#permalink] New post   28 Dec 2015, 21:46
Expert Reply
avohden wrote:
Three years from now, Dathan will be three times as old as Ellen and Ellen will be six years younger than Famke. If Dathan's age is three years less than twice Famke's age, how old is Famke?

(A) 9
(B) 15
(C) 21
(D) 27
(E) 33

GH-10.18.13 -OE to follow


We need to find Famke's age so say it is F.

Then Dathan's age = 2F - 3
Ellen's age = F - 6 (If in 3 yrs, Ellen will be 6 yrs younger than Famke, she must be 6 yrs younger today too)
Dathan + 3 = 3(F - 6 + 3)

So
2F - 3 = 3(F - 3) - 3
F = 9 yrs

Answer (A)
User avatar
G
KanishkM
Director
Director
Joined: 09 Mar 2018
Posts: 783
Own Kudos [?]: 453 [0]
Given Kudos: 123
Location: India
Schools: DeGroote'21 Desautels '21 NUS '21
Send PM
Re: Three years from now, Dathan will be three times as old as E [#permalink] New post   17 Feb 2019, 09:34
avohden wrote:
Three years from now, Dathan will be three times as old as Ellen and Ellen will be six years younger than Famke. If Dathan's age is three years less than twice Famke's age, how old is Famke?

(A) 9
(B) 15
(C) 21
(D) 27
(E) 33

GH-10.18.13 -OE to follow


So whats given, x = Dathan, y = Ellen & z = Famke

x + 3 = 3y + 9

y + 3 = z - 3

x = 2z - 3

Now just manipulate above expressions to get

2z - 3y = 9 ----------(b)
z - y = 6------------(a)

Multiply (a) by 2 and then subtract from (b)
y = 3

z = 9

A
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32652
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: Three years from now, Dathan will be three times as old as E [#permalink] New post   08 Mar 2024, 02:29
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
gmatclubot
Re: Three years from now, Dathan will be three times as old as E [#permalink]
08 Mar 2024, 02:29
Moderators:
Bunuel
Math Expert
92902 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions