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Pair of Linear Equations in Two Variables
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28/05/2021 10:22 am
Topic starter
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?
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28/05/2021 10:24 am
Let the number of right answers is x and number of wrong answers be y
According to the given question;
3x−y = 40 ……..(1)
4x−2y = 50
⇒2x−y = 25 …….(2)
Subtracting equation (2) from equation (1), we get;
x = 15 ….….(3)
Putting this in equation (2), we obtain;
30 – y = 25
Or y = 5
Therefore, number of right answers = 15 and number of wrong answers = 5
Hence, total number of questions = 20