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MathNet 2013 Question 70

Math Olympiad Vault · MathNet 2013

Question 70

The numbers $x,y,z,w$ in the figure are pairwise distinct integers greater than $1$, placed in the boxes so that each number (starting with $y$) divides the number in the box immediately to its left.

| $x$ | $y$ | $z$ | $w$ |
| :--- | :--- | :--- | :--- |

Find all possible values of $x,y,z,w$, given that their sum is $329$.