Respuesta :

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