Solution Found!
Find the integer a such thata) a -15 (mod 27) and -26 a
Chapter 4, Problem 25E(choose chapter or problem)
Find the integer a such thata) a ?-15 (mod 27) and -26 ? a ? 0.________________b) a ? 24 (mod 31) and -15 ? a ? 15.________________c) a ? 99 (mod 41) and 100 ? a ? 140.
Questions & Answers
QUESTION:
Find the integer a such thata) a ?-15 (mod 27) and -26 ? a ? 0.________________b) a ? 24 (mod 31) and -15 ? a ? 15.________________c) a ? 99 (mod 41) and 100 ? a ? 140.
ANSWER:Solution:Step 1Here, in these problems we have to find integer a such that a b (mod m). a b (mod m) means integer a is congruent to b (mod m) and we can say integer a is congruent to b (mod) m, if a and b are integers and m is a positive integer and m divides( a-b) completely.Or,We can also say a is congruent to b (mod) m. if value of To find integer congruent to b (mod) m, we have to find integer a such that (a-b) is divisible by m.In mathematical equation we can say =k. Where, k is an integer.