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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:

First, we have to find HCF of 657 and 963

Now, 657 = 9*63

963 = 9*107

HCF(657, 963) = 9

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

 So, 657x + 963x - 15 = 9

=> 657x + 963x - 15 = 9

=> 1620x - 15 = 9

=> 1620x = 15 + 9

=> 1620x = 24

=> x = 24/1620

=> x = 2/135             {24 and 1620 is divided by 12}

So, the value of x is 2/135

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