The marble game

Atul and Vikas play marbles every day. It was decided among themselves that Atul being a better player, he should pay Vikas 8 marbles if Vikas wins, but will collect only 5 marbles if Vikas looses. One month they played 26 games and at the end of the month neither of them earned any marbles. How many games did Vikas win?


The answer is 10.

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2 solutions

Neil Cano
Aug 8, 2014

if A=Atul and B=Vikas ANd let A and B be no. of winning as well. let 5A=8B since Atul can gain 5 and Vikas can gain 8. in conclusion Atul won by 16-10.

Let x be the no. of games Vikas wins
8x = 5(26-x)
13x= 130
x=10


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