A number, half of that number, and one-third of that number are added.
This statement can be expressed as:
x + (1/2)x + (1/3)x
The total is 22
x + (1/2)x + (1/3)x = 22
So let's look for x
x + (1/2)x + (1/3)x = 22
(6x + 3x + 2x) / 6 = 22
11x = 132
x = 12
So the original number is 12.
