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

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Director
Joined: 05 Feb 2006
Posts: 899
Followers: 1

Kudos [?]: 54 [0], given: 0

If x, y and z are positive integers and 3x=4y=7z, then the [#permalink]  04 Jun 2006, 02:50
00:00

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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

A) 33
B) 40
C) 49
D) 61
E) 84
Senior Manager
Joined: 19 Feb 2005
Posts: 486
Location: Milan Italy
Followers: 1

Kudos [?]: 11 [0], given: 0

X needs to be a multiple of both 4 and 7
Y needs to be a multiple of both 3 and 7
Z needs to be a multiple of both 3 and 4

28
21
12

61 D
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Director
Joined: 26 Sep 2005
Posts: 577
Location: Munich,Germany
Followers: 1

Kudos [?]: 12 [0], given: 0

84 is the LCM for the three, so you get 28,21 and 12 for x,y,z resp.

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

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