Answer :

samuelonum1

Answer:

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= 110----------1

positive difference is 64

x-y= 64-----------2

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

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