Yash scored 40marks in a test, getting 3marks for each right answer and losing1 mark for each wrong answer. Had 4marks 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?

Yash scored 40marks in a test, getting 3marks for each right answer and losing1 mark for each wrong answer. Had 4marks 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?

Let correct question = x

And incorrect question  = y

Yash scored 40 marks in a test, getting 3marks for each right answer and losing1 mark for each wrong answer.

3x -  y = 40

Subtract 3x both sides we get

-Y = 40 – 3x        

Change the sign we get

Y = 3x – 40 …(1)

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

We get

4x – 2y = 50

Plug the value of y we get

4x – 2(3x - 40) =50

4x – 6x + 80 = 50

-2x = - 30

X = 15

Plug this value back in equation first we get

Y = 3x – 40

Y = 3* 15- 40

Y = 45 – 40

Y = 5

So total question are x + y =  15 + 5 = 20