Consider the following 8 numbers, where one labelled x is unknown. 26, 33, 46, x, 9, 7, 10, 11 Given that the range of the numbers is 60, work out 2 values of x.

Answer: Then the two possible values of x are 53 and - 14

Step-by-step explanation:

When we have a set of numbers

{a, b, c, d, e}

The range will be equal to the difference between the larger number and the smaller number.

In our case, the set is:

{26, 33, 46, x, 9, 7, 10, 11}

First, we need to see than largest and smallest numbers in the set (ignoring x)

The largest is 46

the smallest is 7.

Now, if we considerate that x is the smallest number in the set, we will have that:

46 - x = 60

x = 46 - 60 = - 14

If x is the largest number on the set, we have that:

x - 7 = 60

x = 60 - 7 = 53

Then the two possible values of x are 53 and - 14