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Question:
If the H C F of 657 and 963 is expressible in the form of 657x 963x - 15 find x.
Answer:

If the question is:

If the H C F of 657 and 963 is expressible in the form of 657x +  963 * (-15),

then find the value of x

Solution:

First, we have to find HCF of 657 and 963

Now, 657 = 9*63

         963 = 9*107

So, HCF(657, 963) = 9

Since HCF is expressed in the form of 657x +  963 * (-15)

So, 657x +  963 * (-15) = 9

=> 657x - 963 * 15 = 9

=> 657x - 14445 = 9

=> 657x = 14445 + 9

=> 657x = 14454

=> x = 14454/657

=> x = 22

So, the value of x is 22

 

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