where x y z are natural Numbers then what is x y z equal to ........

Quantitative Aptitude (CDS) Algebra

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$if\;\frac{36}{11}=3+\frac{1}{x+\frac{1}{y+\frac{1}{z}}},\;$

where x,y,z are natural Numbers, then what is (x + y + z) equal to

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Explanation:

$if\;\frac{36}{11}=3+\frac{1}{x+\frac{1}{y+\frac{1}{z}}},\;$
$=>\frac{1}{x+\frac{1}{y+\frac{1}{z}}}=\frac{3}{11}$
$=>{x+\frac{1}{y+\frac{1}{z}}}=\frac{11}{3}=3+\frac{2}{3}$
$=>\frac{1}{y+\frac{1}{z}}=\frac{2}{3}$
$=>{y+\frac{1}{z}}=\frac{3}{2}=1+\frac{1}{2}$
y=1, z=2, x=3
x+y+z=6