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Easy: Consecutive integers
Let x stand for the quantity you don't know and write the other quantities in terms of x. Translate the story into one equation, solve it, and check the answer against the story. Consecutive integers are x, x + 1, x + 2; consecutive even or odd integers go up by 2.
Write an equation and solve it.
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Call the first one n; the next ones are n + 1 and n + 2. For consecutive even or odd integers, add 2 each time: n, n + 2, n + 4.
That the answer fits the story: the integers really are consecutive and add to the total, or the rectangle's sides give the stated perimeter.
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