In an examination, a student scores 9 marks for every correct answer and loses 4 marks for every wrong answer. If he attempts in all 130 questions and secures 533 marks, what is the number of questions attempted correctly ?
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Answer:
a = correct answers
b = wrong answers
a+b=130
9a - 4b = 533
4a+4b=520
9a-4b=533
(4b and -4b cancel)
13a=1053
a=1053/13
a=81
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