Question

If the HCF of 68 and 119 is expressible in the form of 68m - 119, then find the value of m.​

Answer 1

Answer:

Step-by-step explanation:

if the hcf 68 and 119 is expressible in the form 8 m - 119

Answer 2

Answer:- The value of m here will be = 2

Given in the question that:-

The HCF(Highest Common Factor) of 68 and 119 is written in the form of = 68m-119

Then, we need to find the value of m in this given equation.

Solution:-

First we need to find the HCF of 68 and 199. For that we need to find the factors of 68 and 119.

So, the factors of 68 are = 2×2×17

And the factors of 119 are = 7×17

Therefore, the common factor of 68 and 119 is = 17

Therefore, the HCF of 68 and 119 is = 17

So, now the equation will be written as

According to the question

68m-119 = HCF of 68 and 119

68m-119 = 17

   68m   = 17+119

     68m = 136

         m = 136/68

         m = 2

Therefore, after solving this equation we get the value of m = 2

To know more about the topic above please go through the following links

Link1:- https://brainly.in/question/54688956?

Link2:- https://brainly.in/question/53676552?

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