Question 161
Nastia has 5 yellow coins, among which all are authentic. She has also 5 blue coins, among which three are authentic and two are fake. All 8 authentic coins have the same weight, one of the fake coins is heavier than an authentic one by 1 gram, and the other is lighter by 1 gram. Can Nastia, using a balance scale without weights and 3 weighings, determine both fake coins and indicate which one is heavier and which lighter?