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Grouping Averages

GMAT-F1FO4X

If the average of $x$ and $y$ is $20$, the average of $y$ and $z$ is $100$, and the average of $ x$ and $z$ is $60$, what is $x+y+z$?

A

$140$

B

$180$

C

$200$

D

$220$

E

Not enough information.