HMMT November 2008 U14

Guts
Answer

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 $x+2 y+3 z ?$

Dataset text NuminaMath olympiads. Quoted with source.

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