Answer :
sum means add
x+y=39
difference is 5
x-y=5
so we do this
x-y=5
add y to both sides
x=5+y
subsitute 5+y for x
5+y+y=39
add like terms
5+2y=39
subtract 5
2y=34
divide by 2
y=17
subsitute
x=5+y
x=5+17
x=22
the larger number is 22
x+y=39
difference is 5
x-y=5
so we do this
x-y=5
add y to both sides
x=5+y
subsitute 5+y for x
5+y+y=39
add like terms
5+2y=39
subtract 5
2y=34
divide by 2
y=17
subsitute
x=5+y
x=5+17
x=22
the larger number is 22