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The Sum of three Consecutive Natural numbers is 114. Find the numbers
by T Santhosh
Updated Jun 12, 2024
The Sum of three Consecutive Natural numbers is 114. Find the numbers
To find three consecutive natural numbers that add up to 114, follow these steps.
Let the three consecutive natural numbers be x, x+1, and x+2.
According to the problem, the sum of these three numbers is 114
x + (x+1) + (x+2) = 114
Combine like terms
x + x + 1 + x + 2 = 114
3x + 3 = 114
First, isolate the term with x by subtracting 3 from both sides
3x + 3 − 3 = 114 − 3
3x = 111
Next, divide both sides by 3 to solve for x
x = 37
The first number is x, which is 37.
The second number is x+1, which is 38.
The third number is x+2, which is 39
Therefore, the three consecutive natural numbers whose sum is 114 are 37,38, and 39.
How to Solve Consecutive Numbers?
Understanding how to solve problems involving consecutive numbers is important in mathematics. These problems often require you to find a sequence of numbers that meet a specific condition, such as adding up to a certain sum. Here are some key points to consider when solving these types of problems.
- Consecutive numbers follow one after another in a sequence. For example, consecutive natural numbers like 1, 2, 3, and so on.
- When dealing with consecutive numbers, it's helpful to define them using variables. For instance, if you need to find three consecutive numbers, you can define them as x, x+1, and x+2.
- Use the given condition to set up an equation. If the problem states that the sum of the numbers is a certain value, add the expressions together. Combine like terms to simplify the equation. This makes it easier to solve for the unknown variable.
- Isolate the variable by performing basic algebraic operations such as subtraction and division.
- Once you have the value of the variable, you can find the consecutive numbers by substituting back into the expressions you defined.
