Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 02 Jul 2015, 23:50

### 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

# if x, y, and z are positive integers and 3x=4y=7z, then the

 Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Current Student
Joined: 31 Aug 2007
Posts: 371
Followers: 1

Kudos [?]: 63 [0], given: 1

if x, y, and z are positive integers and 3x=4y=7z, then the [#permalink]  29 Oct 2007, 19:04
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
if x, y, and z are positive integers and 3x=4y=7z, then the least possible value of x+y+z is:

33
40
49
61
84
VP
Joined: 28 Mar 2006
Posts: 1383
Followers: 2

Kudos [?]: 20 [0], given: 0

Re: PS [#permalink]  29 Oct 2007, 19:09
young_gun wrote:
if x, y, and z are positive integers and 3x=4y=7z, then the least possible value of x+y+z is:

33
40
49
61
84

3x=4y=7z = k (say)

x=k/3 y=k/4 z=k/7

I think it is 84
Current Student
Joined: 31 Aug 2007
Posts: 371
Followers: 1

Kudos [?]: 63 [0], given: 1

[#permalink]  29 Oct 2007, 19:17
I thought so too...that is not the OA, however...
Director
Joined: 08 Jun 2007
Posts: 584
Followers: 2

Kudos [?]: 80 [0], given: 0

Re: PS [#permalink]  29 Oct 2007, 19:24
trivikram wrote:
young_gun wrote:
if x, y, and z are positive integers and 3x=4y=7z, then the least possible value of x+y+z is:

33
40
49
61
84

3x=4y=7z = k (say)

x=k/3 y=k/4 z=k/7

I think it is 84

Should be 61.

x+y+z => x + 3x/4 +3x/7 => x* 61/28
For this to be integer , and for sum to minimum x should be 28.
So sum is 61.
Director
Joined: 22 Aug 2007
Posts: 569
Followers: 1

Kudos [?]: 16 [0], given: 0

Re: PS [#permalink]  29 Oct 2007, 19:43
young_gun wrote:
if x, y, and z are positive integers and 3x=4y=7z, then the least possible value of x+y+z is:

33
40
49
61
84

Yep, D it is.

3x=4y=7z

since 3 is not divisible by either 4 or 7, X must be divisible by both 4 and 7, thus

X min=4*7

the same logic for Y and Z:

Y = 3*7, Z = 3*4

X+Y+Z=28+21+12=61.
Re: PS   [#permalink] 29 Oct 2007, 19:43
Similar topics Replies Last post
Similar
Topics:
11 If x, y, and z are positive integers and 3x = 4y = 7z, then 7 05 Oct 2012, 06:53
3 If x, y, and z are positive integers and 3x = 4y = 7z, then 4 16 May 2011, 14:35
3 If x, y and z are positive integers such that x is a factor 10 08 Feb 2011, 02:34
If x, y, and z are positive integers and 3x = 4y = 7z, then 7 19 Oct 2006, 09:33
If x, y and z are positive integers and 3x=4y=7z, then the 2 04 Jun 2006, 02:50
Display posts from previous: Sort by

# if x, y, and z are positive integers and 3x=4y=7z, then the

 Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group and phpBB SEO 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®.