several students have taken an exam.there was an error in the answer key which affected the marks of 48 students and their average marks reduced from 78 to 66.the average of remaining students increased by 3.5 marks.this reduces the avg of all students by 4.5 marks .the number of students who attended the exam is
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Answer:Total marks of 48 students =48x45=2160
Let the number of boys be B and the number of girls be (48−B)
Then total marks of boys =40B
Total marks of girls =50(48−B)=2400−50B
⇒ 40B+2400−50B=2160
⇒ 10B=240
⇒ B=24
Thus number of girls =48−24=24
Therefore, required ratio =24:24=1:1
Step-by-step explanation:
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