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 answer and two 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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Step-by-step explanation:
Let number of correct answers be x and wrong be y
3x - y = 40 ---- (1)
4x - 2y = 50
Multiply (1) by 2
6x - 2y = 80
4x - 2y = 50
Subtract these equations.
2x = 30
x = 15
Substitute in (1)
(3x15) - y = 40
45 - y = 40
- y = -5
y = 5
correct answers = x = 15
wrong answers = y = 5
Total questions = 15 + 5
=20
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