If $0<x<y<z$ integers
And $\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=\frac{1}{4}$
So it asks the possible values of $z$.
Options goes as:
A)9 B)10 C)11 D)12 E)13
2026-03-27 10:09:21.1774606161
Possible values of $z$ in this inequality problem?
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13 is the answer.
Since $1/x \gt 1/y \gt 1/z$
Hence $1/4 = 1/x+1/y+1/z \gt 1/z +1/z +1/z$
Hence $1/4 \gt 3/z$
Giving $z\gt 12$