Question

if HCF of 45 and 27 is d and value of d is 45x + 27 y, then find value of x and y

Answer 1

by euclid division lemma
45=27×1+18 equation2
27=18×1+9 equation 1
18=9×2+0
now hcf is 9 so d is 9
from 1
27-18×1=9
from 2
27-(45-27×1)×1=9
27-45+27=9
27×2+45×(-1)=9
27y+45x=9
where x=-1 and y=2
hope it will help you

Answer 2

Answer:

x=2 & y=-1

Step-by-step explanation:

By euclid division lemma

45=27×1+18 equation2

27=18×1+9 equation 1

18=9×2+0

now hcf is 9 so d is 9

from 1

27-18×1=9

from 2

27-(45-27×1)×1=9

27-45+27=9

27×2+45×(-1)=9

27y+45x=9

∴ x=-1 and y=2