kao521547 wrote:if 6x=8y=14z, what is a possible sum of positive integers x,y and z
A. 52
B. 58
C. 84
D. 122
E. 168
thank you for your help
(2*3)x = (2*2*2)y = (2*7)z.
The smallest possible value of each product is 2*2*2*3*7.
Smallest possible x = (2*2*2*3*7)/(2*3) = 28.
Smallest possible y = (2*2*2*3*7)/(2*2*2) = 21.
Smallest possible z = (2*2*2*3*7)/(2*7) = 12.
Thus:
The smallest possible value of x+y+z = 28+21+12 = 61.
x+y+z must be a multiple of 61.
Of the answer choices, only
D is a multiple of 61.
The correct answer is
D.
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