At first:
Naomi --- x
Macy ---- y
Sebastian -- 234 -x - y
After the giving:
Naomi --- x-16 - 24
Macy --- y + 16
Sebastian --- 234-x-t + 24
x-16-24 = 3(y+16) ---> x - 3y = 88
y+16 = 2(234-x-y+24) --> 2x + 3y = 500
add them:
3x = 588
x = 196
then in x-3y=88
196-3y=88
-3y=-108
y = 36
Naomi had 196
Macy had 36
Sebastian had 2