Let the number be x.
Half of that number = x / 2
One Third of the number = x / 3
Add the two together x / 2 = x / 3 = 22. Least Common Multiple (LCM) = 6.
= (3x + 2x) / 6 = 22.
5x / 6 = 22.
Cross Multiply
5x = 6 * 22.
5X = 132
Divide both sides by 5.
x = 132 / 5
x = 26.4
The number is 26.4.