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

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

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04 Jun 2006, 02:50
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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
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Joined: 19 Feb 2005
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Kudos [?]: 22 [0], given: 0

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04 Jun 2006, 05:04
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
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Kudos [?]: 18 [0], given: 0

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11 Jun 2006, 08:13
84 is the LCM for the three, so you get 28,21 and 12 for x,y,z resp.

11 Jun 2006, 08:13
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