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The sum of two- Consecutive add
numbers as 2x+1 and 2x+ 3]
Answers
Hope it's helps to u ✌️✌️
Most of the answers use Algebra, which is awesome, by the way.
You can do this in your head for any number by dividing by two. Whatever the result, the two numbers you are looking for will be less than - and greater than your result, by exactly the same distance on a number-line. 37 ÷ 2 = 18.5. The numbers you’re looking for are 18 and 19. This is more useful in woodworking or measuring a pipe or cable. If you work it out for an even number, then your result will be ±0.5 the result. This works with even numbers, too. For 36 ÷ 2 = 18, the two consecutive numbers are actually represented by fractions: 17.5 and 18.5. Unless you didn’t need fractions - then you’ll resort to a different spread to keep things even, so to speak.
The reason 0.5 enters into it, is the difference between numbers (you indicated consecutive, which suggests a single integer, whole number, 1). This has to do with your question - you did ask for consecutive numbers, which puts them exactly “1” apart from each other. 1 divided by 2 = 0.5. You may also work this out for different spreads, such as numbers 3 apart. What numbers 3 apart sum to 37? Using the same technique, in this case the spread being 3 (instead of 1). Divide 37 by 2 and divide 3 by 2, for example 37 ÷ 2 = 18.5, and 3 ÷ 2 = 1.5. thus, 18.5 - 1.5 = 17, and 18.5 +1.5 = 20. Therefore, 17 + 20 = 37. If you need to find where to drill a hole in the center of a length of board, or a specific distance from the center, this way of thinking comes in very handy without having to rely solely on algebra, or a computer program, and lends itself well to inches or millimeters.