Question 11

Recently my brother and I played chess form chocolates. Who ever lost the game gave the other a chocolate. After the last game we counted the chocolates. I had 20 more chocolates than I started with, although he won 7 games. There is no draw. How many games did we play?

Solution

I have won X number of chess games and my brother has won 7 games.

For every game I win I get 1 chocolate and and I give 1 chocolate if my brother wins. Let A be number of chocolates with me initially.

Then , A +X - 7 = A +20

X= 27

Total games played = Games won by me + Games won by my brother = 27+7 = 34

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