# Algebra Question by Mithil Shah # 1

Algebra Level 3

Find positive integers $$x,y,z$$ such that $$x \lt y \lt z$$ and

$\dfrac{1}{x} - \dfrac{1}{xy} - \dfrac{1}{xyz} = \dfrac{19}{97}$

Determine the value of $$x+y+z$$.

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