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The sum of two numbers is 95. If one exceeds the other by 15, then the smaller of the two is?
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The sum of two numbers is 95. If one exceeds the other by 15, then the...
Understanding the Problem
To find the smaller of two numbers based on the provided conditions, we can use algebraic expressions. The problem states:
- The sum of two numbers is 95.
- One number exceeds the other by 15.
Let’s Define the Variables
- Let the smaller number be x.
- Therefore, the larger number can be expressed as x + 15.
Setting Up the Equation
According to the problem, the sum of these two numbers equals 95:
- x + (x + 15) = 95
Simplifying the Equation
Now, simplify the equation:
- 2x + 15 = 95
Next, we will isolate x by subtracting 15 from both sides:
- 2x = 95 - 15
- 2x = 80
Solving for x
Now, divide both sides by 2 to find the value of x:
- x = 80 / 2
- x = 40
Finding the Larger Number
Now that we have the smaller number, we can find the larger number:
- Larger number = x + 15
- Larger number = 40 + 15 = 55
Conclusion
Thus, the smaller of the two numbers is 40.
- Smaller Number: 40
- Larger Number: 55
This solution clearly shows how to derive the smaller number through algebraic methods.
To find the smaller of two numbers based on the provided conditions, we can use algebraic expressions. The problem states:
- The sum of two numbers is 95.
- One number exceeds the other by 15.
Let’s Define the Variables
- Let the smaller number be x.
- Therefore, the larger number can be expressed as x + 15.
Setting Up the Equation
According to the problem, the sum of these two numbers equals 95:
- x + (x + 15) = 95
Simplifying the Equation
Now, simplify the equation:
- 2x + 15 = 95
Next, we will isolate x by subtracting 15 from both sides:
- 2x = 95 - 15
- 2x = 80
Solving for x
Now, divide both sides by 2 to find the value of x:
- x = 80 / 2
- x = 40
Finding the Larger Number
Now that we have the smaller number, we can find the larger number:
- Larger number = x + 15
- Larger number = 40 + 15 = 55
Conclusion
Thus, the smaller of the two numbers is 40.
- Smaller Number: 40
- Larger Number: 55
This solution clearly shows how to derive the smaller number through algebraic methods.
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The sum of two numbers is 95. If one exceeds the other by 15, then the smaller of the two is?
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The sum of two numbers is 95. If one exceeds the other by 15, then the smaller of the two is? 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 The sum of two numbers is 95. If one exceeds the other by 15, then the smaller of the two is? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of two numbers is 95. If one exceeds the other by 15, then the smaller of the two is?.
The sum of two numbers is 95. If one exceeds the other by 15, then the smaller of the two is? 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 The sum of two numbers is 95. If one exceeds the other by 15, then the smaller of the two is? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of two numbers is 95. If one exceeds the other by 15, then the smaller of the two is?.
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