The two consecutive even integers are 36 and 38.

Because your prompt asks for a richer, article-style response, here’s a structured breakdown that still keeps things short.

📰 Quick Scoop: “The sum of two consecutive even integers is 74. What are

the two numbers?”

  • Let the smaller even integer be xxx.
  • The next consecutive even integer is then x+2x+2x+2.
  • Their sum is given as:

x+(x+2)=74x+(x+2)=74x+(x+2)=74

  • Combine like terms:

2x+2=742x+2=742x+2=74

  • Subtract 2 from both sides:

2x=722x=722x=72

  • Divide both sides by 2:

x=36x=36x=36

  • So the two numbers are:
    • Smaller number: 36
    • Larger number: 38

Check: 36+38=7436+38=7436+38=74, so the result is correct.

Mini Sections

1. Key idea in one line

Consecutive even integers differ by 2, so you model them as xxx and x+2x+2x+2, then solve a simple linear equation.

2. Quick numbered recap

  1. Assume the smaller even number is xxx.
  1. The next even number is x+2x+2x+2.
  1. Set up the equation: x+(x+2)=74x+(x+2)=74x+(x+2)=74.
  1. Solve to get x=36x=36x=36.
  1. The two numbers are 36 and 38.

Tiny “story” way to remember it

Imagine two seats next to each other in a row of even-numbered chairs: chair 36 and chair 38.
Together, their labels add up to 74, and any pair of neighboring even chairs will always be 2 apart in number. TL;DR: The sum of two consecutive even integers is 74 → the integers are 36 and 38.

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