Question

Which equation could be used to solve this problem? The sum of two consecutive odd integers is 24. Let n represent the first integer. Find the integers.

Answer 1

If n is the first integer, then n+2 is the second one. The equation for the sum can be written as
  n + (n+2) = 24 . . . . . . this equation can be used to solve the problem

  2n = 22 . . . . . . . . . . . simplify, subtract 2
  n = 11

The integers are 11 and 13.

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I like to solve problems like this by looking at the average of the integers. Here, it is 24/2 = 12. The consecutive odd integers whose average is 12 are 11 and 13.