Let's call the larger number a and the smaller number b.
a + b = 22
a - 8 = b
Since we have determined that a - 8 is the same as b, we can substitute it into the original equation:
a + (a - 8) = 22
2a - 8 = 22
2a = 30
a = 15
Now that we have the larger number, let's find the smaller number:
15 - 8 = b
7 = b
Let's see if this is true:
15 + 7 = 22
22 = 22
