yash scored 40 marks in a test,getting 3 marks for each right answer and losing one mark for each wrong answer. had 4 marks been awarded for each correct and 2 marks been deducted for each incorrect answer, them yash would have scored 50 marks. how many questions were there in the test
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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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