Question

Consider the following 8 numbers, where one labelled

x
is unknown.

41
,


19
,


28
,


x
,


10
,


23
,


14
,


4


Given that the range of the numbers is 55, work out 2 values of
x

Answer 1

`\int\limits^a_b {x} \, dx`

Answer 2

x = -14, x = 59.

Explanation:

41 19 28 x 10 23 14 4

If 4 is the lowest number, x could be the highest number: 4 + 55 = 59.

Also x could be a negative number and as 41 is the highest in the list

x could be worked out as follows:

x + 55 = 41

x = 41 - 55 = -14,