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Let \(n\) be a positive integer. If the equation \(2x+2y+z=n\) has \(28 \) solutions in positive integers \(x, y, \) and \(z\), then \(n\) must be either 

 

 

(A) 14 or 15

(B) 15 or 16

(C) 16 or 17

(D) 17 or 18

(E) 18 or 19

 
 Dec 26, 2019
edited by hellospeedmind  Dec 26, 2019

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