Is this sentence correct; "Thank you for your letter about the missing items in both yours’ and your mother’s homes"?
closed as off-topic by tchrist♦, Edwin Ashworth, Centaurus, Drew, Mari-Lou A Mar 12 '15 at 12:06
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The apostrophe in yours' is incorrect. See this question for a good explanation.
Otherwise the sentence is correct, but it's open to several interpretations. It might be clearer, albeit more long-winded, to rewrite it thus:
Thank you for your letter about the items missing from your home and from your mother's home.
As well as the apostrophe in yours' being incorrect in the OP's sentence, the word yours is itself incorrect. It should be your.
Your is a possessive adjective .
Your car is black!
Yours, however is a possessive pronoun .
That car of yours is black!
Though you may see your’s written even by native speakers, it is incorrect.
Yours should never have an apostrophe.