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The difference of two numbers is 72 and the quotient obtained by dividing the one by other is 3 find the numbers?
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The difference of two numbers is 72 and the quotient obtained by divid...
Understanding the Problem
To solve the problem, we need to find two numbers based on the given conditions:
- The difference between the two numbers is 72.
- The quotient obtained by dividing one number by the other is 3.
Setting Up the Equations
Let's represent the two numbers:
- Let the first number be x.
- Let the second number be y.
From the problem statement, we can create the following equations:
- Equation 1: x - y = 72
- Equation 2: x / y = 3
Rearranging Equation 2
We can rearrange Equation 2 to express x in terms of y:
- x = 3y
Substituting in Equation 1
Now, we can substitute x from the second equation into the first equation:
- 3y - y = 72
Simplifying the Equation
Now, simplify the equation:
- 2y = 72
Finding y
Divide both sides by 2:
- y = 36
Finding x
Substituting the value of y back into Equation 2 to find x:
- x = 3 * 36
- x = 108
Conclusion
The two numbers are:
- First number (x): 108
- Second number (y): 36
Summary of Results
- The first number is 108.
- The second number is 36.
This solution satisfies both the difference and the quotient conditions set out in the problem.
To solve the problem, we need to find two numbers based on the given conditions:
- The difference between the two numbers is 72.
- The quotient obtained by dividing one number by the other is 3.
Setting Up the Equations
Let's represent the two numbers:
- Let the first number be x.
- Let the second number be y.
From the problem statement, we can create the following equations:
- Equation 1: x - y = 72
- Equation 2: x / y = 3
Rearranging Equation 2
We can rearrange Equation 2 to express x in terms of y:
- x = 3y
Substituting in Equation 1
Now, we can substitute x from the second equation into the first equation:
- 3y - y = 72
Simplifying the Equation
Now, simplify the equation:
- 2y = 72
Finding y
Divide both sides by 2:
- y = 36
Finding x
Substituting the value of y back into Equation 2 to find x:
- x = 3 * 36
- x = 108
Conclusion
The two numbers are:
- First number (x): 108
- Second number (y): 36
Summary of Results
- The first number is 108.
- The second number is 36.
This solution satisfies both the difference and the quotient conditions set out in the problem.
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The difference of two numbers is 72 and the quotient obtained by dividing the one by other is 3 find the numbers?
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The difference of two numbers is 72 and the quotient obtained by dividing the one by other is 3 find the numbers? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The difference of two numbers is 72 and the quotient obtained by dividing the one by other is 3 find the numbers? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference of two numbers is 72 and the quotient obtained by dividing the one by other is 3 find the numbers?.
The difference of two numbers is 72 and the quotient obtained by dividing the one by other is 3 find the numbers? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The difference of two numbers is 72 and the quotient obtained by dividing the one by other is 3 find the numbers? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference of two numbers is 72 and the quotient obtained by dividing the one by other is 3 find the numbers?.
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