the sum of two consecutive even integers is 74. what are the two numbers?
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
- Assume the smaller even number is xxx.
- The next even number is x+2x+2x+2.
- Set up the equation: x+(x+2)=74x+(x+2)=74x+(x+2)=74.
- Solve to get x=36x=36x=36.
- 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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