If the HCF of 65 and 117 is expressible in the form 65m – 117 :

If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is

  1. 4
  2. 2
  3. 1
  4. 3
Anurag Mishra Professor Asked on 5th December 2015 in Maths.
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1 Answer(s)

Answer: (2) 2 

Explanation:-
The factors of 65 =  5 x 13
The factors of 117 = 3 x 3 x 13

Then, the H C F of 65 and 117 = 13
The H C F of 65, 117 = 65 m – 117                (Given)

Then, 13 = 65 m – 117
65 m = 117 + 13
65 m = 130
 m = 130/65
m  = 2

Then ,the value of m is 2. 

Hence, the answer is (2) 2. 

Anurag Mishra Professor Answered on 5th December 2015.
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