Yash scored 40 marks in latest, 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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CBSE - X - Mathematics - Pair of Linear Equations in 2 Variables
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 4 marks 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?
Asked by Topperlearning User26th July 2017, 10:28 AM
Answered by Expert
Answer:
Let number of correct answers be x and number of incorrect answers be y.
As per given conditions,
3x - y = 40 … (1)
4x - 2y = 50 … (2)
(1) 2 6x - 2y = 80 … (3)
Subtracting (2) from (3), we get,
2x = 30 x = 15
y = 3x - 40 = 45 - 40 = 5
Total number of questions in the test = 15 + 5 = 20
CBSE - X - Mathematics - Pair of Linear Equations in 2 Variables
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 4 marks 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?
Asked by Topperlearning User26th July 2017, 10:28 AM
Answered by Expert
Answer:
Let number of correct answers be x and number of incorrect answers be y.
As per given conditions,
3x - y = 40 … (1)
4x - 2y = 50 … (2)
(1) 2 6x - 2y = 80 … (3)
Subtracting (2) from (3), we get,
2x = 30 x = 15
y = 3x - 40 = 45 - 40 = 5
Total number of questions in the test = 15 + 5 = 20
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