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6 October, 11:08

Three consecutive even numbers have a sum between 84 and 96. Write an inequality to find the three numbers. Let n represent the smallest even number. Solve the inequality

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  1. 6 October, 11:26
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    The numbers are: n, (n+2) and (n+4);

    we can suggest this inequation:

    84
    Now, we solve this inequation:

    84
    84<3n+6<96

    1)

    3n+6>84

    3n+6-6>84-6

    3n>78

    3n/3>78/3

    n>26

    2)

    3n+6<96

    3n+6-6<96-6

    3n<90

    3n/3<90/3

    n<30

    The solution is:

    26
    Then: n=28

    The numbers will be: 28,30 and 32.
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