the numbers are 41 and 23
Step-by-step explanation:
Given data
let the numbers be x and y
x+y/2= 55
cross multiply
x+y= 1101
positive difference is 64
x-y= 642
solve 1 and 2
x+y= 110
x-y= 64
from 1
x= 110-y
put the value of x in 2
110-y-y=64
110-2y=64
110-64=2y
46=2y
y= 46/2
y=23
put y= 23 in 2
x-23= 64
x= 64-23
x=41