Question

A number is 6 more than the average of its half its one third and its one sixth find the number

Answer 1

$6 + \frac{1}{3} ( \frac{x}{2 } + \frac{x}{3 } + \frac{x}{6} ) = x \\ or \: 72 +( 3x + 2x + x) = 18x \\ or \: 12x = 72 \\ or \: x = 6$