Question

a number, half of that number, and one-third of that number are added. the result is 22. what is the number?

Answer 1

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.