A union and interception problem

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Question from Zakir, a teacher:

Sir, I have some problem in union there is a Question in a book
find B set if A={2,4,6,8} , AUB={2,4,5,6,7,8} and A intersection B={6,8}
plz tell me how can I find the B set

If $A = \{2, 4, 6, 8\}$ and $A \cup B = \{2, 4, 5, 6, 7 ,8\}$ then $B$ must contain both 5 and 7. What other elements must also belong to $B$ if $A \cap B = \{6, 8\}?$

Penny

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