xubuntu - Is 32 or 64 bit better for a computer with 2 GB memory?

This is the computer I have currently with Xubuntu 13.10 installed on it, and it works well:

• OS version: Microsoft Windows XP Professional, Service Pack 3, 32 bit


• Processor: Intel(R) Pentium(R) 4 CPU 2.80 GHz, x86 Family 15 Model 4 Stepping 1


• Processor count: 1


• RAM: 1149 MB


• Graphics card: Intel(R) 82865G Graphics Controller, 96 MB


• Hard drives: C: Total - 38091 MB, Free - 17316 MB;


• Motherboard: Dell Computer Corp., 0U2575


• Antivirus: CA Anti-Virus Plus, Updated: No, On-Demand Scanner: Enabled

However, I do a lot of editing of large digital photos, and I'm converting a second computer, with the exact same specifications as this one, to Xubuntu 13.10, AND I'm replacing the 128 MB memory module with a 1 GB module, giving me a total of 2 GB. I have read a lot of posts here that say with 2 GB it is best to go with the 32 bit download of 13.10. But I have also read a lot of posts here that say it's best to go with the 64-bit. That 2 GB is plenty to run 64-bit software, and that 32 bit software is rapidly becoming obsolete.

What is the explanation to clear up the confusion?