It is currently 20 Nov 2017, 07:00

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Director
Status: 1,750 Q's attempted and counting
Affiliations: University of Florida
Joined: 09 Jul 2013
Posts: 514

Kudos [?]: 1015 [0], given: 630

Location: United States (FL)
Schools: UFL (A)
GMAT 1: 600 Q45 V29
GMAT 2: 590 Q35 V35
GMAT 3: 570 Q42 V28
GMAT 4: 610 Q44 V30
GPA: 3.45
WE: Accounting (Accounting)
Three years from now, Dathan will be three times as old as E [#permalink]

### Show Tags

22 Oct 2013, 20:00
3
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

68% (02:26) correct 32% (02:43) wrong based on 229 sessions

### HideShow 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
[Reveal] Spoiler: OA

Last edited by Bunuel on 23 Oct 2013, 00:45, edited 1 time in total.
Renamed the topic and edited the question.

Kudos [?]: 1015 [0], given: 630

Math Expert
Joined: 02 Sep 2009
Posts: 42264

Kudos [?]: 132771 [0], given: 12372

Re: Three years from now, Dathan will be three times as old as E [#permalink]

### Show Tags

23 Oct 2013, 00:57
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.

_________________

Kudos [?]: 132771 [0], given: 12372

Math Expert
Joined: 02 Sep 2009
Posts: 42264

Kudos [?]: 132771 [0], given: 12372

Re: Three years from now, Dathan will be three times as old as E [#permalink]

### Show Tags

23 Oct 2013, 01:14
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.

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.
_________________

Kudos [?]: 132771 [0], given: 12372

Director
Status: 1,750 Q's attempted and counting
Affiliations: University of Florida
Joined: 09 Jul 2013
Posts: 514

Kudos [?]: 1015 [0], given: 630

Location: United States (FL)
Schools: UFL (A)
GMAT 1: 600 Q45 V29
GMAT 2: 590 Q35 V35
GMAT 3: 570 Q42 V28
GMAT 4: 610 Q44 V30
GPA: 3.45
WE: Accounting (Accounting)
Re: Three years from now, Dathan will be three times... [#permalink]

### Show Tags

23 Oct 2013, 07:44
Official Explanation

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

Kudos [?]: 1015 [0], given: 630

SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1851

Kudos [?]: 2714 [0], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: Three years from now, Dathan will be three times as old as E [#permalink]

### Show Tags

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
_________________

Kindly press "+1 Kudos" to appreciate

Kudos [?]: 2714 [0], given: 193

Board of Directors
Joined: 17 Jul 2014
Posts: 2672

Kudos [?]: 431 [0], given: 200

Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
Re: Three years from now, Dathan will be three times as old as E [#permalink]

### Show Tags

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.

Kudos [?]: 431 [0], given: 200

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7738

Kudos [?]: 17814 [0], given: 235

Location: Pune, India
Re: Three years from now, Dathan will be three times as old as E [#permalink]

### Show Tags

28 Dec 2015, 21:46
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

_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for \$199

Veritas Prep Reviews

Kudos [?]: 17814 [0], given: 235

Non-Human User
Joined: 09 Sep 2013
Posts: 15640

Kudos [?]: 283 [0], given: 0

Re: Three years from now, Dathan will be three times as old as E [#permalink]

### Show Tags

10 Jan 2017, 11:07
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.
_________________

Kudos [?]: 283 [0], given: 0

Re: Three years from now, Dathan will be three times as old as E   [#permalink] 10 Jan 2017, 11:07
Display posts from previous: Sort by