Question

Find the value of x when 200 congruent to x mod 7​

Answer 1

Given:

$\bold{200 \equiv x \ mod \ 7}$

To find:

x=?

Solution:

$\to 200 \equiv x \ mod \ 7$

$\to 200 = x + 7n\\\\\to 200 = x + 7n$

$_{\ when} \ \ n=1,2,3......$

$\to \ n= 1 \\ \\\to 200 = x+ 7 \times 1\\\to 200 = x+ 7 \\\to x= 193\\\\\to \ n= 2 \\ \\\to 200 = x+ 7 \times 2 \\\to 200 = x+ 14 \\\to x= 186$