Question

(a) Solve 47x = 11 (mod 249).
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Answer 1

x = 58.276

Step-by-step explanation:

Given that, 47x = 11(mod 249) ........... (1)

Now, the definition of mod(x) is given by

mod(x) = x when x ≥ 0 and mod(x) = - x when x < 0.

Now, here 249 > 0, so, mod(249) = 249.

Therefore, the equation (1) becomes

47x = 11 × 249

⇒ 47x = 2739

⇒ x = 58.276 (Answer)