What if there are two social security cards with the same ID number but different names?

This shouldn't be difficult. The original household registration police station will issue a certificate to explain the situation and confirm that the ID numbers are consistent. Then the social security agency will transfer and merge the original social security card payment amount. Or you need to go to the current social security agency to ask clearly, and then follow the requirements (because these social security policies have different requirements in different places), which is more convenient!