Question

The average of the numbers `30, x, 4, 14, 35, x, 2, 13, 32` and `10` is `24`. What is the value of `x`?

Answer 1

`x = 26`

Explanation:

We know that the average of `n` numbers is the sum of the numbers divided by `n`.

Therefore:

`(30 + x + 4+ 14 + 35 + x + 2 + 13 + 32 + 10)/8 = 24`

Simplifying, we get:

`30 + x + 4 + 14 + 35 + x + 2 + 13 + 32 + 10 = 192`

`2x + 140 = 192`

`x = 26`

If we check our answer, we do get an average of `24`, therefore, our answer is correct.

Hopefully this helps!