Question

. If the HCF of 5768 and 4635 is expressible in the form 5768x – 4635y, then find one pair of values of x and y

Answer 1

Answer:

x=1 and y=5

Step-by-step explanation:

Apply  division lemma on 5768 and 4635

5768=4635*1+1133-----------------(1)

Apply  division lemma on 4635 and 1133

4635=4*1133+103-----------------------(2)

Apply  division lemma on 103 and 1133

1133=103*11+0

Here remainder=0 so HCF of 5768 and 4635=103

from (2)

103=4635-4*1133

from(1)

4635=5768-1133

so 103=5768-1133-4(1133)

103=5768 - 5*1133-------------------(3)

But 103=5768x-4635y----------------(4)    (given)

comparing (3) and (4) we get

x=1 and y=5