Find-the-least-possible-value-of-x-8x-24-mod-16-i-3x-6-mod-25-ii-

Question Number 91732 by I want to learn more last updated on 02/May/20

Find the least possible value of x

8 x \equiv 24 (\mod 16) \dots . (i)

3 x \equiv 6 (\mod 25) \dots . (ii)

Commented by mr W last updated on 02/May/20

8 x = 24, 40, 56, \dots .

\Rightarrow x = 3, 5, 7, \dots .

3 x = 6, 81, 156, \dots

\Rightarrow x = 2, 27, 52, \dots

\Rightarrow x_{m i n} = 27

Commented by I want to learn more last updated on 02/May/20

Thanks sir