Question 84
a) After division of a positive integer $n$ by two positive integers one has two remainders different from zero.
Is it possible for $n$ to be the sum of these two remainders?
b) After division of a positive integer $n$ by $29$, $39$, and $59$ one has three nonzero remainders such that their sum is equal to $n$.
Find all possible values of $n$.
Is it possible for $n$ to be the sum of these two remainders?
b) After division of a positive integer $n$ by $29$, $39$, and $59$ one has three nonzero remainders such that their sum is equal to $n$.
Find all possible values of $n$.