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19 August, 18:12

Consider the following 8 numbers, where one labelled x is unknown. 31, 44, 43, x, 47, 11, 26, 29 Given that the range of the numbers is 57, work out 2 values of x

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  1. 19 August, 18:29
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    Answer: - 10 and 68

    Step-by-step explanation:

    We have the numbers, ordered from least to greatest:

    11, 26, 29, 31, 43, 44, 47 and x.

    The range is equal to the difference between the largest number and the smallest number, so, x can take two values.

    The smallest number:

    here we have that:

    47 - x = 57

    x = 47 - 57 = - 10

    The other possibility is that x is the largest number, in this case, we have that:

    x - 11 = 57

    x = 57 + 11 = 68.

    Then the two possibla values of x are - 10 and 68
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