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If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is
- a)4
- b)2
- c)1
- d)3
Correct answer is option 'B'. Can you explain this answer?
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If the HCF of 65 and 117 is expressible in the form 65m – 117, t...
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Analysis:
To find the value of m in the expression 65m - 117, given the HCF of 65 and 117, we need to determine the highest common factor of these two numbers.
Calculation of HCF:
The factors of 65 are 1, 5, 13, and 65.
The factors of 117 are 1, 3, 9, 13, 39, and 117.
The common factors of 65 and 117 are 1 and 13.
Therefore, the HCF of 65 and 117 is 13.
Expression in terms of m:
Now, we can express the HCF (13) in the form 65m - 117.
13 = 65m - 117
Adding 117 to both sides,
13 + 117 = 65m
130 = 65m
Dividing by 65 on both sides,
m = 2
Therefore, the value of m in the expression 65m - 117 is 2, which corresponds to option B.
To find the value of m in the expression 65m - 117, given the HCF of 65 and 117, we need to determine the highest common factor of these two numbers.
Calculation of HCF:
The factors of 65 are 1, 5, 13, and 65.
The factors of 117 are 1, 3, 9, 13, 39, and 117.
The common factors of 65 and 117 are 1 and 13.
Therefore, the HCF of 65 and 117 is 13.
Expression in terms of m:
Now, we can express the HCF (13) in the form 65m - 117.
13 = 65m - 117
Adding 117 to both sides,
13 + 117 = 65m
130 = 65m
Dividing by 65 on both sides,
m = 2
Therefore, the value of m in the expression 65m - 117 is 2, which corresponds to option B.
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If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m isa)4b)2c)1d)3Correct answer is option 'B'. Can you explain this answer?
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If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m isa)4b)2c)1d)3Correct answer is option 'B'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m isa)4b)2c)1d)3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m isa)4b)2c)1d)3Correct answer is option 'B'. Can you explain this answer?.
If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m isa)4b)2c)1d)3Correct answer is option 'B'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m isa)4b)2c)1d)3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m isa)4b)2c)1d)3Correct answer is option 'B'. Can you explain this answer?.
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