Question

A no. is 6 more than the average of, it's half , it's one third & one sixth. Find the no.

Answer 1

9 is the number.......,...........

Answer 2

Answer:

9

Step-by-step explanation:

Let the number be x

Half of the number = $\frac{x}{2}$

One third of a number =$\frac{x}{3}$

One sixth of a number =$\frac{x}{6}$

Now we are supposed to find the average of half , one third and one sixth of a number .

So, Average = (Sum of all observations)/(number of observations)

$Average = \frac{\frac{x}{2}+\frac{x}{6}+\frac{x}{3}}{3}$

$Average = \frac{x}{3}$

Now we are given that A no. is 6 more than the average of, it's half , it's one third & one sixth.

So, $x=\frac{x}{3}+6$

$x-\frac{x}{3}=6$

$\frac{3x-x}{3}=6$

$\frac{2x}{3}=6$

$x=6 \times \frac{3}{2}$

$x=9$

Hence the number is 9