Question

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

Answer 1

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

Hope it helps you

Answer 2

Answer:

$\huge{\mathcal{\underline{\green{Answer}}}}$

Let x be the number of right answers and y be the number of wrong answers.

∴ According to the question ,

3x−y=40⟶(i)

and , 2x−y=25⟶(ii)

On substraction : x=15

putting the value of x in ⟶(i)

3(15)−y=40

y=5

∴ Number of right answers=15 answers

Number of wrong answers=5 answers.

Total Number of questions 5+15=20