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MathNet 2026 — Part 02 Question 78

Math Olympiad Vault · MathNet 2026 — Part 02

Question 78

sides of a parallelepiped - if $x$ and $y$ are positive integers such that $x y z=240$, $x y+z=46$ and $x+y z=64$, what is the value of $x+y+z$?
(a) 19
(b) 20
(c) 21
(d) 24
(e) 36