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17 February, 11:09

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.

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  1. 17 February, 11:22
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    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
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