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Maximum Possible Mean for a Set of Five Numbers

GMAT-WNTFX6

A set of five numbers arranged in order is {$22,a,30,33,b$}.

If $b$ is $10$ greater than $a$, what is the maximum possible mean for this data set?

A

$27$

B

$28$

C

$29$

D

$30$

E

$31$