Question

If the hcf of 78 & 143 is expressible in the form of 78m-143,then find the value of m

Answer 1

The answer is given below :

Now,

78 = 2 × 3 × 13

and

143 = 11 × 13

So, the hcf of 78 and 143 is

= 13

Now,

13 = 78×2 - 143

Thus,

78m - 143 = 13

⇒ 78m - 143 = 78×2 - 143

⇒ 78m = 78×2

⇒ m = 2

Thus, the value of m is 2.

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Answer 2

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Ur answer is there in the photo given below

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