Question

Consider the following 8 numbers, where one labelled

x
is unknown.

34
,


31
,


15
,


x
,


17
,


4
,


20
,


25


Given that the range of the numbers is 69, work out 2 values of
x
.
x
=
​
x
=

Answer 1

x = 73

x = -35

Explanation:

Here are the 8 numbers:

34, 31, 15, x, 17, 4, 20, 25

Here are the 8 numbers in ascending order with x as the greatest number:

4, 15, 17, 20, 25, 31, 34, x

x - 4 = 69

x = 73

Here are the 8 numbers in ascending order with x as the smallest number:

x, 4, 15, 17, 20, 25, 31, 34

34 - x = 69

-x = 69 - 34

-x = -35

x = -35

Answer:

x = 73

x = -35