Question

The average marks secured by a group of students is 28. A new student joins the group
who secured 43 marks, the average marks of the group become 31. The number of students
in the group in the end is ____________.

Answer 1

Answer:

5 students

Step-by-step explanation:

Let the no. of students be x

Let the sum of the marks secured by x students be y.

According to question ,

y/x = 28

=> y = 28x

According to question ,

y + 43 / x + 1 = 31

=> y + 43 = 31 ( x + 1 )

=> 28x + 43 = 31x + 31 [ since , y = 28x ]

=> 31x + 31 = 28x + 43

=> 31x - 28x = 43 - 31

=> 3x = 12

=> x = 12/3 = 4

Therefore , reqd. No. = x+1 = 5

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