Game 1: You have 4 archers, 4 cities, 2 workers and have discovered iron by T47? Wow!
Not four but two cities (one of them settled recently), there is Babylon on east and has similar colour.
Four archers - you forgot to notice that this is entire American army, also nothing special.
Two workers - let me guess, Liberty?
Iron - remember, it requires Bronze Working, not Iron Working. If for some crazy reason he wants to beeline it
it is Mining -> Bronze Working. Also he has Archery, Pottery, Calendar and Wheel. Hmm, six technologies by turn 47... Eight turns per tech... Given American scouting range + the plenty of map he discovered, I guess he got at least one tech from ruins. I sometimes got two techs from ruins during the first 15 turns of game
And positive gold flow. His difficult level must be an abnormal low.
+3 gold is absolutely nothing amazing. 79 gold also - in proper circumstances it can be achieved easily (ruins, barbarian camps etc).
I played one multiplayer game (everyone on Immortal difficulty) where one guy had six cities, positive happiness, big army and plenty of gold in Classical Era
And he was playing as Arabia so no early bonuses + in ancient era he conquered human neighbour Japan
yeah I played with him many times and he was the best Civ5 player I have ever encountered but - impossible is possible