Question 29
Two children, Alex and Cristi, play several times a game, in which the winner receives $x$ points, and the loser $y$ points ($x$ and $y$ are nonnegative integers, with $x \gt y$, and in any game one of the children is the winner and the other is the loser). The final score is $147$ to $123$, in Alex's favour. Cristi has won $6$ games. Determine the numbers $x$ and $y$.
Bogdan Antohe
Bogdan Antohe