A cricket team won 3 matches more than they lost. If a win gives them 2 points and loss(-1) point, how many matches, in all, have they played if their score is 23?

A cricket team won 3 matches more than they lost. If a win gives them 2 points and loss(-1) point, how many matches, in all, have they played if their score is 23? Correct Answer 37

Let the number of matches lost = x Then, number of matches won = x + 3 ∴ 2(x + 3) - x = 23⇒x = 17 Hence, total number of matches played = x + (x + 3) = 2x + 3 = 37
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