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12 February, 07:15

The sum of four odd integers is 296. What is the greatest of the four consecutive odd integers

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  1. 12 February, 07:39
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    Answer: 77

    Step-by-step explanation:

    Let the four odd numbers be represented as a, b, c and d.

    a + b + c + d = 296

    b = a+2 (since they are consecutive and odd)

    c = a+4

    d = a+6

    Then, substitute the values gotten into the original equation. This will be:

    a + (a+2) + (a+4) + (a+6) = 296

    4a + 2 + 4 + 6 = 296

    4a + 12 = 296

    Then, collect like terms

    4a + 12 = 296

    4a = 296 - 12

    4a = 284

    Divide both sides by 4

    4a/4 = 284/4

    a = 71

    If a is 71,

    b = a + 2 = 71 + 2 = 73

    c = a + 4 = 71 + 4 = 75

    d = a + 6 = 71 + 6 = 77

    The greatest of the four consecutive odd integers is 77.
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