Question

in an examination 70% student passed in english and 65% passed in maths ,27% failed in both the subjects . 248 passed in both the subjects. find the total number of students.
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Answer 1

let total no of students be'x'

let a% students passed in both subjectd

(70%-a%)=passed Only in English

(65%-a%)=passed Only in Maths

27% students failed in both..

total there are 100% students..

Total students =who passed only in english+who passed only in maths+who passed both+who failed both..

100%=(70%-a%)+(65%-a%)+a%+27%

hence a%=62%

given 248 passed in both exams..

62%(x)=248

x=400 students