Answer:
number is 12
Step-by-step explanation:
One-third of a number is 2 greater than one-sixth of the same number
Let the unknown number be x
One-third of x is 2 more than one-sixth of x
[tex]\frac{1}{3} x=2+\frac{1}{6} x[/tex]
least common denominator is 6, multiply each term by 6
[tex]2x=12+x[/tex]
subtract x from both sides
x=12
So the number is 12