One Third Of The Numbers Is Two More Than The One Fourth Of The Number.What Is That Number?

Good question!

X = unknown number

x/3 -2 = x/4

Get rid of the denominators
1st, the 3
3 * x/3 -2 = x/4

x - 6 = 3x/4

then get rid of the 4

4x - 24 = 3x

x - 24 = 0

x = 24
Proof: 24/3 -2 = 24/4

24/3 = 8
8 minus 2 = 6
24/4 = 6
6 = 6   Hope this helps