Jaffer took a test in which there were 25 questions. Two marks would be given for each correct answer and one mark would be subtracted for each wrong one. Jaffer answered all questions and got 35 marks. How many of his answers were correct?

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Solution

Total number of questions = 25

Let the number of questions correctly answered be x.

The number of questions wrongly answered = 25 − x

Marks given for each correct answer = 2

Mark subtracted for each wrong answer = 1

Total marks obtained = 35

Algebraic form of the problem is:

2x − 1(25 − x) = 35

⇒ 2x − 25 + x = 35

⇒ 3x − 25 = 35

⇒ 3x = 35 + 25

⇒ 3x = 60

Therefore, Jaffer’s 20 answers were correct.

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