Question

find the HCF of 148 and 185 express HCF in the form of 148x + 185 y . find x and y

Answer 1

buddy here is your ans.....please write the statements on your own. what I wrote is just to make u understand

Answer 2

Therefore the value of x is '-1' and y is '1'.

Given:

The numbers = 148 and 185

The HCF of the 2 numbers 148 and 185 is expressed as 148x + 185y

To Find:

The value of x and y.

Solution:

The given question can be answered as shown below.

Given that,

The numbers = 148 and 185

The HCF of the 2 numbers 148 and 185 is expressed as 148x + 185y

HCF of 148 and 185,

148 ) 185 ( 1

        148

      (-)                

         37 ) 148 ( 4

                148

              (-)              

                   0

Hence the HCF of 148 and 185 is '37'.

Now 185 - 148 = 37

So 185 must be multiplied by '1' and 148 must be multiplied by '-1'.

⇒ 37 = 148x + 185y

⇒ 37 = 148 ( -1 ) + 185 (1) = 37

So x = -1 and y = 1

Therefore the value of x is '-1' and y is '1'.

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