it can be like pale(faint coz of disease)+ate so eating the pain.i.e. reducing it.
palli+ate.I was hungry,had pain in the stomach,so ate some palli(groundnut).It eased the pain but didn't cure it.
a friend = a PAL will ALLEVIATE your pain.
PALL means become borin..
u got bored of the pain..fed up of it..so u ATE it..to ease the pain..
pal(friend) + ate(lessen) >>> a friend always LESSEN OUR PAIN when it grows a lot
now here a latin root could help fix few words.
Pallere means concealed. cloaked hence something which has become pale .
u can find this root in words:
palliate: to ease or cloak pain without curing.
pall: become pale >less intresting after much
Pall when sick I ate something and i felt better ... same will happen with you.