Question

If HCF of 657 and 963 is expressed in the form of 657m +963 x (-15), find the value of m

Answer 1

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

Ans:2/135. Correct answer will be 2/135

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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