What is the smallest positive multiple of $23$ that is $4$ more than a multiple of $89$?
Muluples of 89 Multiples of 23 Diff
1 = 89 4 = 92 3
2 = 178 8 = 184 6
3 = 267 12 = 276 9
. .
, .
9 = 801 36 = 828 27
So
35 (23) - 9(89) = 805 - 801 = 4
