The sum of two numbers is 46, and the difference between the numbers is
4. find the numbers.

X+y = 46 so x = 46 - y
x-y = 4

substitute x = 46 - y into x-y = 4

x-y = 4
46 - y -y = 4
2y = 42
y = 21

x - y = 4
x - 21 = 4
x = 25

answer
the numbers are 21 and 25

double check
25 + 21 = 46
25 - 21 = 4