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A number subtracted by 30 given 14 subtracted by three times the number . Find the number
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A number subtracted by 30 given 14 subtracted by three times the numbe...
Let the number be x..
Number subtracted by x = 14 subtracted by 3x:
30 - x = 3x -14
Add x to both sides:
30 = 4x - 14
Add 14 to both sides:
44 = 4x
Switch sides:
4x = 44
Divide both sides by 4:
x = 11
Answer: The number is 11
This question is part of UPSC exam. View all Class 8 courses
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A number subtracted by 30 given 14 subtracted by three times the numbe...
Understanding the Problem
To solve the given problem, let's first define the variable. Let the unknown number be represented as \( x \).
Formulating the Equation
According to the problem statement:
- A number subtracted by 30: This can be represented as \( x - 30 \).
- 14 subtracted by three times the number: This can be represented as \( 14 - 3x \).
We are given that these two expressions are equal:
\[
x - 30 = 14 - 3x
\]
Solving the Equation
Now, let's solve the equation step-by-step.
1. Rearranging the equation:
- Start by adding \( 3x \) to both sides:
\[
x + 3x - 30 = 14
\]
This simplifies to:
\[
4x - 30 = 14
\]
2. Adding 30 to both sides:
\[
4x = 14 + 30
\]
Which simplifies to:
\[
4x = 44
\]
3. Dividing both sides by 4:
\[
x = \frac{44}{4}
\]
This results in:
\[
x = 11
\]
Conclusion
The number we were looking for is 11.
To verify, substitute \( x \) back into the original expressions:
- Left Side: \( 11 - 30 = -19 \)
- Right Side: \( 14 - 3(11) = 14 - 33 = -19 \)
Both sides are equal, confirming our solution is correct.
To solve the given problem, let's first define the variable. Let the unknown number be represented as \( x \).
Formulating the Equation
According to the problem statement:
- A number subtracted by 30: This can be represented as \( x - 30 \).
- 14 subtracted by three times the number: This can be represented as \( 14 - 3x \).
We are given that these two expressions are equal:
\[
x - 30 = 14 - 3x
\]
Solving the Equation
Now, let's solve the equation step-by-step.
1. Rearranging the equation:
- Start by adding \( 3x \) to both sides:
\[
x + 3x - 30 = 14
\]
This simplifies to:
\[
4x - 30 = 14
\]
2. Adding 30 to both sides:
\[
4x = 14 + 30
\]
Which simplifies to:
\[
4x = 44
\]
3. Dividing both sides by 4:
\[
x = \frac{44}{4}
\]
This results in:
\[
x = 11
\]
Conclusion
The number we were looking for is 11.
To verify, substitute \( x \) back into the original expressions:
- Left Side: \( 11 - 30 = -19 \)
- Right Side: \( 14 - 3(11) = 14 - 33 = -19 \)
Both sides are equal, confirming our solution is correct.
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A number subtracted by 30 given 14 subtracted by three times the number . Find the number Related: NCERT Solution (Ex- 2.1) - Chapter 2: Linear Equations in one variable, Maths, Class 8
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A number subtracted by 30 given 14 subtracted by three times the number . Find the number Related: NCERT Solution (Ex- 2.1) - Chapter 2: Linear Equations in one variable, Maths, Class 8 for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A number subtracted by 30 given 14 subtracted by three times the number . Find the number Related: NCERT Solution (Ex- 2.1) - Chapter 2: Linear Equations in one variable, Maths, Class 8 covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number subtracted by 30 given 14 subtracted by three times the number . Find the number Related: NCERT Solution (Ex- 2.1) - Chapter 2: Linear Equations in one variable, Maths, Class 8.
A number subtracted by 30 given 14 subtracted by three times the number . Find the number Related: NCERT Solution (Ex- 2.1) - Chapter 2: Linear Equations in one variable, Maths, Class 8 for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A number subtracted by 30 given 14 subtracted by three times the number . Find the number Related: NCERT Solution (Ex- 2.1) - Chapter 2: Linear Equations in one variable, Maths, Class 8 covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number subtracted by 30 given 14 subtracted by three times the number . Find the number Related: NCERT Solution (Ex- 2.1) - Chapter 2: Linear Equations in one variable, Maths, Class 8.
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