Question

The Indian cricket team played 60 games and won 30% of the games played. After a phenomenal winning streak, this team raised its average to 50%. How many games did the team win in a row to attain this average?
( I request you to not give any sort of links and solve this problem systematically)

Answer 1

Hi there!
Here's the answer:

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Indian cricket team played 60 games & won 30% of games played

So total matches won = 30% of 60 = $\frac{30×60}{100} = 18$


Let total No. of matches won by India in a row = x

So Total No. of matches = 60 + x

Total matches won to attain 50% winning average = 18 + x


Therefore,

50% of (60+x) = 18 + x

=> (50/100)(60+x) = 18+x
=>(1/2) 60+x = 18+x
=> 60 + x = 36 + 2x
=> x = 60 - 36
=> x = 24


•°• Total matches won by team in a row = 24



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Answer 2

Let, x be the no. of matches won in a row...
As per question,
(18+x)/(60+x)=50/100;
then, x=24