Question

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 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?
​

Answer 1

Answer:

20

Step-by-step explanation:

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

According to question,

3x - y = 40 ————————> (i)

2x - y = 25 ————————>(ii)

Solving these equations,

x = 15

y = 5

Number of right answers = 15

Number of wrong answers = 5

Total number of questions = 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