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

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Intern
Joined: 09 May 2005
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If x, y, and z are positive integers and 3x = 4y = 7z, then [#permalink]

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10 May 2005, 00:06
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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

According to answer key, is D but I donÂ´t see the way to solve this quikly...
VP
Joined: 30 Sep 2004
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Location: Germany
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10 May 2005, 00:11
1. calculate the least common multiple (LCM)
2. LCM of 3 and 4 and 7 is 84
3. divide 84 by each number
4. add the results
5. 28 + 21 + 12 = 61
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If your mind can conceive it and your heart can believe it, have faith that you can achieve it.

Intern
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10 May 2005, 00:19
You are great man!

Many thanks

Juan
10 May 2005, 00:19
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# If x, y, and z are positive integers and 3x = 4y = 7z, then

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