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by Uva@90 » Sun Nov 24, 2013 8:23 pm
Ankitaverma wrote: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
Q/A-d
Hi Ankitaverma,
Given : 3x = 4y = 7z
To find the least value of X+Y+Z ?
X= 7*4 =28
Y= 3*7 =21
Z= 3*4 =12
X+Y+Z =61

Answer is D

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by theCodeToGMAT » Sun Nov 24, 2013 9:46 pm
3x = 4y = 7z

for above equation to be true, we must multiple the corresponding variable with LCM of other terms

So, (4*7) + (3*7) + (3*4) = 28 + 21 + 12 ==> 61

[spoiler]{D}[/spoiler]
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