Question

Yash scored 40 marks in a test, getting 3 marks for each right answer and losing 1 mark for each incorrect. answer , then Yash would have scored 50 marks. How many
questions were there in the test?​

Answer 1

Answer:

Let no. of correct answers be x and no. of incorrect answers be y.

As pergiven conditions,

3x - y = 40 (1)

4x -2y = 50 (2)

Multiplying (1) by 2 ,

6x -2y = 80 (3)

Subtracting (2) from (3)

We get,

2x = 30

x = 15

Putting x = 15 in (1)

3 into 15 - y = 40

45- y = 40

45-40 = y

y = 5

Total no. of questions in test are 15+5 = 20.

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