Answer:
The number is [tex]\frac{2}{3}[/tex].
Step-by-step explanation:
Let the number be represented by t. Thus;
[tex]\frac{1}{6}[/tex] of t + [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{3}[/tex] of t
[tex]\frac{1}{6}[/tex] x t + [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{3}[/tex] x t
[tex]\frac{t}{6}[/tex] + [tex]\frac{1}{3}[/tex] = [tex]\frac{2t}{3}[/tex]
Multiply through by 6.
t + 2 = 4t
2 = 4t - t
2 = 3t
⇒ t = [tex]\frac{2}{3}[/tex]
The number is [tex]\frac{2}{3}[/tex].
