If the outdated version contains a material factual error, send the corrected resume.

A wrong title, missing role or inaccurate date is worth fixing because recruiting should evaluate the correct version of your background.

Keep the message short: explain that you attached an outdated version and provide the corrected file. You do not need a long apology.

If the difference is purely cosmetic, replacing it may not be necessary. Focus on whether the error changes how your experience is understood. For more detail on what recruiters expect from the document itself, see the consulting resume guide.

I swapped mine after noticing an old title. Recruiting just replaced the file.

If it's only formatting, I'd probably leave it alone.