Answer:

43&9

Step-by-step explanation:

sum is 52 so:

x+y = 52

y= 52- x

difference 34

x-y =34

x-(52-x) = 34

x-52+x = 34

2x-52 =34

2x= 34+52

2x= 86

divide both sides by 2

x= 43

in equation

x+y = 52

43 + y = 52

y=52-43

y= 9