Question

A group of pupils noticed that if one of them scored 14 marks more, their average would be 90. However, if one of them scored 6 marks less, their average score would be 86. How many pupils are there?

Answer 1

Answer:

Average of 70 students = 80.

Hence total marks of all the 70 students = 70x80 = 5600

Out of these 70, average of 40 students = 75

Hence total marks of these 40 students = 40x75 = 3000.

So the total marks of the remaining 30 students = 5600-3000 = 2600

Hence the average of the remaining 30 students = 2600/30 = 86.66

THIS QUESTION IS DISCUSSED HERE.

Now there will be a serious difference in the time taken if the numbers given here are not multiples of 10. Just look at example 2 below:

Example 2:

“Average of 75 students is 82, out of which average of 42 students is 79. What is the average of the remaining 33 students?

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