Find the integer a such that, a\equiv -15 (\bmod 27)\ and\ -26\leq a\leq 0

postillan4

postillan4

Answered question

2021-09-13

Find the integer a such that
a15(mod27) and 26a0

Answer & Explanation

Leonard Stokes

Leonard Stokes

Skilled2021-09-14Added 98 answers

Division algorithm Let a be an integer and d a positive integer. Then there are unique q and r with 0 q=a÷d
r=a mod d
a15(mod27) and 26a0 Since -15 is between -26 and 0: a=15

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