Question

Express the HCH of 210 and 66 as 210x+66y where x and y are integer

Answer 1

Answer:

X=-5, Y=16

Explanation:

210=66×3+12... (i)

66=12×5+6... (ii)

12=6×2+0... (iii)

HCF=6

Now,

210x+66y=6 [replace 6 from (ii)]

=66-12×5 [repalce 12 from (i)]

=66-[210-66×3]×5

=66-210(5)+66(3×5)

=66(15+1)+210(-5)

=210(-5)+66(16)

Hence, X=-5 and Y=16