Question

Whether p\equiv q\pmod m when p = 91, q=37, and m =9.

Congruence
ANSWERED
asked 2021-05-07
Whether \(\displaystyle{p}\equiv{q}\pm{o}{d}{m}\) when p = 91, q=37, and m =9.

Answers (1)

2021-05-09
Definition used:
Congruence.
Let m be an integer greater than 1. If x and y are integers, then x is congruent to y modulo m if x — y is divisible by m. It can be represented as \(\displaystyle{x}={y}\pm{o}{d}{m}\). This relation is called as congruence modulo m.
Calculation:
Given numbers are p = 91,q = 37, and m = 9.
For being congruence 91 — 37 = 54 has to be divisible by 9.
That is 54 = 6*9 +0.
Here, remainder is 0.
Therefore, 54 is divisible by 9.
Therefore, when p = 91, q = 37, and m = 9, \(\displaystyle{p}\equiv{q}\pm{o}{d}{m}\).
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