Question

in a test,4 marks are given for every correct answer and(-2) marks for every incorrect answer. Rahul anwered all the 30 questions out of 25 were correct. what was rahul's total score

I know the answer but I need the solved one.
​

Answer 1

Case 1: Asha scored =26 marks

Correct answer by Asha =9

Let incorrect answers by Asha be x

According to question, 9(4)+x(−2)=26

−2x=26−36

⇒x=5.

Incorrect answers by Asha =5

Case 2: Varun scored =2 marks

Correct answers by Varun =5

Let incorrect answers by Varun be y

According to question, we have

5(4)+y(−2)=2⇒−2y=2−20⇒y=9

Incorrect answers by Varun =9.