question_answer

If x, y, and z are three positive integers such that \[\frac{1}{x}+\frac{1}{y}=\frac{1}{z}=2\] and xy = 4 unit, then the value of x + y is given by:

A)  \[\frac{4}{z}\,\,(2z-1)\] 

B)  \[\frac{4}{z}\,\,(z+1)\]

C)  \[\frac{2}{z}\,\,(z+2)\]              

D)  \[\frac{2}{z}\,\,(2z-1)\]

E)  None of these