Thanks very much for your reply, noknojon.
I should state that I know very little about personal computers.
The KB numbers of the updates are:
But after the message stating the updates were not installed, under "Review Your Installation Results," the "Installation Summary" indicates that both updates were successful.
Yet every time I turn on this PC the same MS icon displays that the two same updates are to be downloaded and installed.
Somewhere along the way, I saw the error, "0x800A0046" which, not surprisingly, states "You may receive an error message when you search for available updates on the Windows Update Web site or on the Microsoft Update Web site." MS states the "error code may occur if one of the following conditions is true:
--The user logon account belongs to the Guests or Limited account groups.
--The security descriptor does not let authenticated users run Windows Update or Microsoft Update.
--The Impersonate a client after authentication policy is missing the Administrator and Service account from the list of Users and Groups."
MS then goes on to suggest four different methods to correct the error, none of which I've tried yet because, as I say, I'm not sure what I'm doing.
Any suggestions will be appreciated.
Thank you again.