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If the HCF of 65 and 117 is expressible in the form 65m - 117, then find the value of m.
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If the HCF of 65 and 117 is expressible in the form 65m - 117, then fi...
Your question is easy but in board exam the question must be asked as 65m - 117n .
By Using Euclid's division lemma,
a = bq +r
Clearly 117>65.
117 = 65 × 1 + 52 →→ [ 2 ]
65 = 52 x 1 + 13 →→ [1]
52 = 13 x 4 + 0
HCF = 13
According to question →→→
13 = 65m + 117n
From [ 1] ,
13 = 65 - 52 x 1
From [2] ,
52 = 117 - 65 x 1 →→ [3]
Hence ,
13 = 65 - [ 117 - 65 x 1 ] →→ from [3]
= 65 x 2 - 117
= 65 x 2 + 117 x [-1 ]
m = 2
n = -1
Hope this help us .
Keep it up.
By Using Euclid's division lemma,
a = bq +r
Clearly 117>65.
117 = 65 × 1 + 52 →→ [ 2 ]
65 = 52 x 1 + 13 →→ [1]
52 = 13 x 4 + 0
HCF = 13
According to question →→→
13 = 65m + 117n
From [ 1] ,
13 = 65 - 52 x 1
From [2] ,
52 = 117 - 65 x 1 →→ [3]
Hence ,
13 = 65 - [ 117 - 65 x 1 ] →→ from [3]
= 65 x 2 - 117
= 65 x 2 + 117 x [-1 ]
m = 2
n = -1
Hope this help us .
Keep it up.
Community Answer
If the HCF of 65 and 117 is expressible in the form 65m - 117, then fi...
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If the HCF of 65 and 117 is expressible in the form 65m - 117, then find the value of m. Related: Additional Questions Solution, Real Numbers - Mathematics for Class 10th
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If the HCF of 65 and 117 is expressible in the form 65m - 117, then find the value of m. Related: Additional Questions Solution, Real Numbers - Mathematics for Class 10th 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 find the value of m. Related: Additional Questions Solution, Real Numbers - Mathematics for Class 10th 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 find the value of m. Related: Additional Questions Solution, Real Numbers - Mathematics for Class 10th.
If the HCF of 65 and 117 is expressible in the form 65m - 117, then find the value of m. Related: Additional Questions Solution, Real Numbers - Mathematics for Class 10th 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 find the value of m. Related: Additional Questions Solution, Real Numbers - Mathematics for Class 10th 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 find the value of m. Related: Additional Questions Solution, Real Numbers - Mathematics for Class 10th.
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