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