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8 October, 18:56

The product of two consecutive odd integers is 195.

Write an equation to model the situation.

A) n (n + 1) = 195

B) n (n + 2) = 195

C) n (n + 3) = 195

D) (n + 1) (n + 2) = 195

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Answers (1)
  1. 8 October, 19:03
    0
    You need the odd integers to be separated by 2. One will not work.

    If n is odd, n + 1 will be even. You cannot get an exception to that. Try it.

    1 is odd but 1 + 1 is even.

    n and n + 3 produces 1 odd and 1 even. If n is odd then since 3 is odd when the two are added together, you get an even. Again try it

    n = 5

    n + 3 = 8

    C: is not the answer.

    D can't work either. If n is odd then n + 2 will be odd but n + 1 is even.

    The Answer is B.

    n (n + 2) = 195

    n^2 + 2n - 195 = 0

    (n - 13) (n + 15)

    n can be 13 and n + 2 can be 15

    13 * 15 = 195

    But here's something you may not know

    n can be - 15 and then the other odd number would be - 13
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