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Sum of 2 consecutive integers is 59. Write an equation that models that situation and find values of both integers

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  1. Note that the difference between two consecutive integers is equal to 1. Thus,
    Let x = first number
    Let x+1 = the second number
    Then we set up the equation. It says in the problem that their sum is 59, so
    x + x + 1 = 59
    Finally we solve for x:
    2x + 1 = 59
    2x = 59 - 1
    2x = 58
    (2x)/2 = 58/2
    x = 29 (first number)
    x+1 = 30 (second number)

    Hope this helps~ :3

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