MathDB

1

Part of 2017 Finnish National High School Mathematics Comp

Problems(1)

euclidean division problem for starters

Source: Finland 2017, p1

9/8/2019
By dividing the integer mm by the integer n,22n, 22 is the quotient and 55 the remainder. As the division of the remainder with nn continues, the new quotient is 0.40.4 and the new remainder is 0.20.2. Find mm and nn.
number theoryremainderEuclidean algorithmDivision