Question 13
You have a $2 \times 3$ grid filled with integers between $1$ and $9$. The numbers in each row and column are distinct, the first row sums to $23$, and the columns sum to $14$, $16$, and $17$ respectively.
| | $14$ | $16$ | $17$ |
| :---: | :---: | :---: | :---: |
| $23$ | $a$ | $b$ | $c$ |
| | $x$ | $y$ | $z$ |
What is $x+2y+3z$?
| | $14$ | $16$ | $17$ |
| :---: | :---: | :---: | :---: |
| $23$ | $a$ | $b$ | $c$ |
| | $x$ | $y$ | $z$ |
What is $x+2y+3z$?