ANSWER: This is not from the sunnah but the prayer is valid.

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ANSWER: It is not a condition for the khutbah to be in the state of purity but it is recommended.  Therefore, he can finish both khutbah and then appoint someone else to lead the prayers while he rushes to perform wudhu.

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ANSWER: The default is that you did not pray. Pray it now. 

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