Find the integer a such that a) a\equiv43 and (mod

burkinaval1b 2021-12-18 Answered
Find the integer a such that a) a43 and (mod 23) and 22a0.
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Expert Answer

kalupunangh
Answered 2021-12-19 Author has 29 answers
Solution:
a) a43 (mod23)
We can find a such that 22a0 by consecutively subtracting 23 from 43 until we obtain a value between -22 and 0.
a43 (mod 23)
4323 (mod 23)
20 (mod 23)
2023 (mod 23)
3 (mod 23)
Since -3 is between -22 and 0:
a=3

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