# Leningard mathematics league

Number Theory Level 4

If there exists only one pair $$(x, y)$$ in positive integers to the equation

$$\huge\ { x }^{ { x }^{ { x }^{ x } } }= (19 - { y }^{ x }){ y }^{ { x }^{ y } }- 74$$.

Find $$x + y$$.

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