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In a competitive exam, the number of passed students was four times the number of failed students. If there had been 35 fewer appeared students and 9 more had failed, the ratio of passed and failed students would have been 2 : 1, then the total number of students appered for the exam ?

Correct Answer: 155

Explanation:

Let the number of failed students be x


=> Number of passed students = 4x 


So total number of students was 5x


From the given data,


If total number of students be 5x – 35


=> 4x-35-9/x+9 = 2/1


=> 4x – 44 = 2(x + 9)


=> 4x – 2x = 18 + 44


=> x = 31


Total number = 31×5


= 155


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