Question

a number is 6 more than the average of, its half , its one-third and it one-sixth. Find the number.​

Answer 1

Step-by-step explanation:

$\frac{ \frac{x}{2} + \frac{x}{3} + \frac{x}{6} }{3} + 6 = x \\ \frac{ \frac{3x + 2x + 6x}{6} }{3} + 6 = x \\ \frac{ \frac{12x}{6} }{3} + 6 = x \\ (\frac{12x}{6} \times \frac{3}{1}) + 6 = x \\ (2x \times 3) + 6 = x \\ 6x + 6 = x \\ 6x - x = - 6 \\ 5x = - 6 \\ x = - \frac{6}{5}$

hope you get your answer