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  • Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method : (iii) Yash scored 40 marks in a test, getting 3 marks for each right answer and losing 1 mark for each wrong answer. Had 4 marks

Q4.    Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :

                (iii) Yash scored 40 marks in a test, getting 3 marks for each right answer and losing 1 mark for each wrong answer. Had 4 marks been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then Yash would have scored 50 marks. How many questions were there in the test?

Answers (1)

best_answer

Let the number of right answer and wrong answer be x and y respectively 

Now, According to the question,

3x-y=40..........(1)

And

\\4x-2y=50\\\Rightarrow 2x-y=25..........(2)

Now, subtracting (2) from (1) we get,

x=40-25

x=15

Putting this value in (1)

3(15)-y=40

\Rightarrow y=45-40

\Rightarrow y=5

Hence the total number of question is x+y=15+5=20.

Posted by

Pankaj Sanodiya

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