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Two numbers are in ratio 7:11.if their hcf is 28 then find difference between two numbers?
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Two numbers are in ratio 7:11.if their hcf is 28 then find difference ...
Understanding the Problem
To find the two numbers in a given ratio and their difference, we first need to recognize the elements involved:
- The given ratio of the two numbers is 7:11.
- Their highest common factor (HCF) is 28.
Finding the Numbers
1. Represent the Numbers:
- Let the two numbers be 7x and 11x, where x is a common multiplier.
2. Use the HCF:
- The HCF of the two numbers, 7x and 11x, is equal to x times the HCF of 7 and 11.
- Since 7 and 11 are coprime (HCF = 1), the HCF of 7x and 11x is x.
3. Set up the Equation:
- Given that the HCF is 28, we have:
- x = 28.
4. Calculate the Numbers:
- Now, substitute x back into the expressions for the numbers:
- First number = 7x = 7 * 28 = 196.
- Second number = 11x = 11 * 28 = 308.
Finding the Difference
- Calculate the Difference:
- Difference = Second number - First number
- Difference = 308 - 196 = 112.
Final Result
- The difference between the two numbers is 112.
By following these steps, the problem is solved clearly and systematically.
To find the two numbers in a given ratio and their difference, we first need to recognize the elements involved:
- The given ratio of the two numbers is 7:11.
- Their highest common factor (HCF) is 28.
Finding the Numbers
1. Represent the Numbers:
- Let the two numbers be 7x and 11x, where x is a common multiplier.
2. Use the HCF:
- The HCF of the two numbers, 7x and 11x, is equal to x times the HCF of 7 and 11.
- Since 7 and 11 are coprime (HCF = 1), the HCF of 7x and 11x is x.
3. Set up the Equation:
- Given that the HCF is 28, we have:
- x = 28.
4. Calculate the Numbers:
- Now, substitute x back into the expressions for the numbers:
- First number = 7x = 7 * 28 = 196.
- Second number = 11x = 11 * 28 = 308.
Finding the Difference
- Calculate the Difference:
- Difference = Second number - First number
- Difference = 308 - 196 = 112.
Final Result
- The difference between the two numbers is 112.
By following these steps, the problem is solved clearly and systematically.
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Two numbers are in ratio 7:11.if their hcf is 28 then find difference between two numbers?
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Two numbers are in ratio 7:11.if their hcf is 28 then find difference between two numbers? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Two numbers are in ratio 7:11.if their hcf is 28 then find difference between two numbers? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two numbers are in ratio 7:11.if their hcf is 28 then find difference between two numbers?.
Two numbers are in ratio 7:11.if their hcf is 28 then find difference between two numbers? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Two numbers are in ratio 7:11.if their hcf is 28 then find difference between two numbers? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two numbers are in ratio 7:11.if their hcf is 28 then find difference between two numbers?.
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