Bunuel wrote:
If x = 3y = 4z, which of the following must equal 6x ?
I. 18y
II. 3y + 20z
III. (4y + 10z)/3
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I and III only
Checking the options.
I. 18y
Given ; x = 3y
\(\frac{18y}{3y}\) * x = 6x (Must be True)
II. 3y + 20z
Given 3y = x; 4z =x
\(\frac{20z}{4z}\) * x = 5x
3y + 20z = x + 5x = 6x (Must be True)
III.\(\frac{(4y + 10z )}{3}\)
\((\frac{4}{3}x + \frac{10}{4}x )/3\) =\((\frac{4}{3}x + \frac{5}{2}x)/3\) =\((\frac{8x + 15x}{6})/3\) =\(\frac{23x}{18}\) (Not True)
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