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1. The equation that models the situation is 2x + 1 = 37

   One of the integers is 18 and the other integer is 19

   Writing an Equation

   From the question, we are to write an equation that models the given situation

   The given statement is

   “The sum of two consecutive integers is 37”

   Let one of the integers be x

   Since, the integers are consecutive integers,

   Then,

   The other integer will be x + 1

   Thus,

   The statement can be written as

   x + x + 1 = 37

   2x + 1 = 37

   This is the equation that models the situation

   Solving the equation

   2x + 1 = 37

   2x = 37 – 1

   2x = 36

   x = 36/2

   x = 18

   ∴ The other integer is x + 1 = 18 + 1 = 19

   Hence. one of the integers is 18 and the other integer is 19

   Learn more on Writing an Equation here: https://brainly.com/question/19297447

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