Deskjet 3510 will not scan wirelessly on OS 10.9

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Deskjet 3510 will not scan wirelessly on OS 10.9
I have a Deskjet 3510 that worked great wirelessly on my old Mac with Snow Leopard. I recently purchased a new IMac with Mavericks OS 10.9.5. The printer will print wirelessly but not scan wirelessly. It will only scan with the USB cable attached. I uninstalled and reinstalled the latest HP software. When I disconnect the USB it says the wireless connection cannot be found. I reset the wireless connection and it is good. What am I missing here?
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Thanks very much for your help with this. I followed your steps and it is now working. The main problem I saw was that the default setting was "airprint" which kept coming up each time. Needed to be changed to Bonjour. Even when I deleted the printer and then added it back in as you suggested, "airprint" as the Kind kept coming up. Once I changed it, all was good. Thanks again.
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