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1 September, 13:20

The sum of two consecutive integers is 37. Write an equation that models this situation and find the values of the two integers.

A. n + 2n = 37; n = 12; 2n = 24

B. n + n + 1 = 37; n = 18; n + 1 = 17

C. n + n + 1 = 37; n = 18; n + 1 = 19

D. n + n + 1 = 37; n = 19; n + 1 = 20

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  1. 1 September, 14:20
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    C. n + n + 1 = 37; n = 18; n + 1 = 19

    Step-by-step explanation:

    If we let n represent the smaller integer, then the larger one is n+1. Their sum is 37, so you have ...

    n + (n+1) = 37

    When you subtract 1 and collect terms, you have ...

    2n = 36

    Dividing by 2 gives you ...

    n = 18

    Then the larger integer is ...

    n+1 = 19

    The matching choice is C.
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