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The sum of two numbers is 24 and their difference is 10, x/y then, = [x = 1st number, y = 2nd number].?
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The sum of two numbers is 24 and their difference is 10, x/y then, = [...
Understanding the Problem
To solve for the two numbers based on the given conditions, we start by defining the variables:
- Let x = 1st number
- Let y = 2nd number
We are provided with two equations based on the problem statement:
1. The sum of the two numbers is 24:
x + y = 24
2. The difference between the two numbers is 10:
x - y = 10
Setting Up the Equations
From the above equations, we can express them in a structured way:
- Equation 1: x + y = 24
- Equation 2: x - y = 10
Solving the Equations
To find the values of x and y, we can use the method of elimination or substitution. Here’s how you can solve it step-by-step:
- Step 1: Add both equations:
- (x + y) + (x - y) = 24 + 10
- This simplifies to: 2x = 34
- Thus, x = 17
- Step 2: Substitute x back into one of the original equations to find y:
- Using x + y = 24:
- 17 + y = 24
- This simplifies to: y = 24 - 17
- Thus, y = 7
Conclusion
Now that we have both values, we can summarize:
- 1st number (x) = 17
- 2nd number (y) = 7
Finally, to find the ratio x/y:
- x/y = 17/7
Thus, the answer is 17/7.
To solve for the two numbers based on the given conditions, we start by defining the variables:
- Let x = 1st number
- Let y = 2nd number
We are provided with two equations based on the problem statement:
1. The sum of the two numbers is 24:
x + y = 24
2. The difference between the two numbers is 10:
x - y = 10
Setting Up the Equations
From the above equations, we can express them in a structured way:
- Equation 1: x + y = 24
- Equation 2: x - y = 10
Solving the Equations
To find the values of x and y, we can use the method of elimination or substitution. Here’s how you can solve it step-by-step:
- Step 1: Add both equations:
- (x + y) + (x - y) = 24 + 10
- This simplifies to: 2x = 34
- Thus, x = 17
- Step 2: Substitute x back into one of the original equations to find y:
- Using x + y = 24:
- 17 + y = 24
- This simplifies to: y = 24 - 17
- Thus, y = 7
Conclusion
Now that we have both values, we can summarize:
- 1st number (x) = 17
- 2nd number (y) = 7
Finally, to find the ratio x/y:
- x/y = 17/7
Thus, the answer is 17/7.
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The sum of two numbers is 24 and their difference is 10, x/y then, = [x = 1st number, y = 2nd number].?
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The sum of two numbers is 24 and their difference is 10, x/y then, = [x = 1st number, y = 2nd number].? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The sum of two numbers is 24 and their difference is 10, x/y then, = [x = 1st number, y = 2nd number].? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of two numbers is 24 and their difference is 10, x/y then, = [x = 1st number, y = 2nd number].?.
The sum of two numbers is 24 and their difference is 10, x/y then, = [x = 1st number, y = 2nd number].? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The sum of two numbers is 24 and their difference is 10, x/y then, = [x = 1st number, y = 2nd number].? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of two numbers is 24 and their difference is 10, x/y then, = [x = 1st number, y = 2nd number].?.
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