If you happen to be viewing the article The Sum of Two Consecutive Numbers is 37. What are they? ? on the website Math Hello Kitty, there are a couple of convenient ways for you to navigate through the content. You have the option to simply scroll down and leisurely read each section at your own pace. Alternatively, if you’re in a rush or looking for specific information, you can swiftly click on the table of contents provided. This will instantly direct you to the exact section that contains the information you need most urgently.
Ever wondered about two numbers in a row that add up to 37? Join us in figuring out this math problem step by step and discovering the answer together.
The Sum of Two Consecutive Numbers is 37. What are they?
The Numbers are 18 and 19.
Explanation
If we call the first number “x”, the next consecutive number would be “x+1”. We know that the sum of these two numbers is 37, so we can set up an equation:
x + (x + 1) = 37
Combining like terms, we get:
2x + 1 = 37
Subtracting 1 from both sides, we isolate x:
2x = 36
Dividing both sides by 2, we find the value of x:
x = 18
Therefore, the two consecutive numbers are 18 and 18 + 1 = 19.
The two Consecutive Numbers are 18 and 19.
Linear Equations in One Variable
Here’s a comprehensive explanation of linear equations in one variable, incorporating images for clarity:
What are linear equations in one variable?
- They are equations that involve only one unknown variable raised to the first power.
- They can be written in the general form: ax + b = 0, where:
- a and b are constants (numbers)
- x is the variable
Key terms:
- Variable: A letter that represents an unknown value.
- Coefficient: The numerical factor multiplying the variable (e.g., a in ax).
- Constant: A term without a variable (e.g., b in ax + b = 0).
Examples of linear equations in one variable:
- 5x – 7 = 13
- 2y + 4 = 0
- 3/4z = 12
Solving linear equations in one variable:
- Combine like terms: Add or subtract terms that have the same variable and exponent.
- Isolate the variable: Use properties of equality (addition, subtraction, multiplication, division) to get the variable by itself on one side of the equation.
- Solve for the variable: Perform the necessary operation to find the value of the variable.
Example:
Solve the equation 5x – 7 = 13:
- Add 7 to both sides: 5x = 20
- Divide both sides by 5: x = 4
Graphical representation:
- The graph of a linear equation in one variable is always a straight line.
- The x-intercept (where the line crosses the x-axis) is the solution to the equation.
Types of linear equations:
- Identity equations: True for all values of the variable (e.g., 3x – 3x = 0)
- Conditional equations: True for only specific values of the variable (e.g., 5x – 4 = 16)
- Inconsistent equations: Not true for any value of the variable (e.g., 2x + 5 = 2x – 3)
Applications of linear equations:
- Mathematical problems
- Real-life situations (e.g., calculating costs, mixing solutions, predicting growth)
Thank you so much for taking the time to read the article titled The Sum of Two Consecutive Numbers is 37. What are they? written by Math Hello Kitty. Your support means a lot to us! We are glad that you found this article useful. If you have any feedback or thoughts, we would love to hear from you. Don’t forget to leave a comment and review on our website to help introduce it to others. Once again, we sincerely appreciate your support and thank you for being a valued reader!
Source: Math Hello Kitty
Categories: Math
