Pete,
Dunno what software you have so cannot offer tailor made help, but try reducing the resolution of the scan. Screens work at 72 dpi, so I rarely scan at more than 150 dpi (lets you blow up to double size). Try those two sizes, save as a JPEG at about 8 on the quality scale (it should ask you this when you save it). If that doesn’t work, try saving a bit lower than 8. If THAT doesn’t work erm… dunno!
Adrian