In a test, +3 marks are given for every correct answer and -1 mar… - Vidyadip

Question

In a test, $+3$ marks are given for every correct answer and $-1$ mark are given for every incorrect answer. Sona attempted all the questions and scored $+20$ marks though she got $10$ correct answers. How many questions were given in the test$?$

✓

Answer

Let $x$ be the correct answers and $y$ be the incorrect answers, given by Sona. It is given that, if she gives $10$ correct answers and her score is $20.$ Since, for every correct answer, $+3$ is given and for every incorrect answer, $-1.$ is given. Hence, Total number od question $=$ Correct anwser + Incorrect answer $= x + y = 10 + 10 = 20$

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