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Example

Solving a Two-Consecutive-Odd-Integer Sum Problem

Apply the problem-solving strategy to find two consecutive odd integers when their sum is known.

Problem: The sum of two consecutive odd numbers is 100-100. Find the numbers.

  1. Identify: Find two consecutive odd integers.
  2. Name: Let nn = the first odd integer. Then n+2n + 2 = the next consecutive odd integer.
  3. Translate: The sum of the integers is 100-100, so n+(n+2)=100n + (n + 2) = -100.
  4. Solve: Combine like terms to get 2n+2=1002n + 2 = -100. Subtract 22 to get 2n=1022n = -102, then divide by 22 to find n=51n = -51. The next consecutive odd integer is 51+2=49-51 + 2 = -49.

The two consecutive odd integers are 51-51 and 49-49.

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Updated 2026-06-29

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