Let the bigger number be x and the smaller one be y
Two numbers have a sum of 22
x+y = 22
y= 22 -x -------------------- (1)
The difference is 6
x - y = 6 ---------------------(2)
Sub (1) into (2):
x - (22 - x) = 6
x - 22 + 2 = 6
2x - 22 = 6
2x = 6 + 22
2x = 28
x = 14 -------- Sub into (1)
y= 22 -x
y = 22 -14
y = 8
One of the number is 14 and the other is 8