If you go to the Play Store with a browser and click (or tap) on the "Update" button, it's the same as doing it with the Play app - the Google site updates the phone that's on the account you're signed in with either way. You could run the Play app and see if the update button is active, but I don't think it will be. You'll have to go to Application manager, to WhatsApp, remove the updates, then go to Play and update.