Let the number be x.
Half of that number = x / 2
One third of the number = x / 3
= x / 2 + x / 3 = 22. LCM = 6.
= (3x + 2 x) / 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. Cheers.