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The average marks of 12 students in a paper are 46. If the marks of two new students are considered, the average marks increase by 4. What are the average marks of two new students?
1. 78
2. 66
3. 74
4. 70

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Correct Answer - Option 3 : 74

Given:

The average marks of 12 students in a paper are 46.

If the marks of two new students are considered, the average marks increase by 4.

Formula used:

Average marks = (Sum of the marks)/(Number of students)

Calculation:

Average marks = Sum of the marks/Number of students

⇒ 46 = Sum of the marks/12

⇒ Sum of the marks = 12 × 46 

⇒ 552.

Let the marks of two new students be x and y.

According to question,

⇒ (552 + x + y)/14 = 50

⇒ (552 + x + y) = 700 

⇒ (x + y) = 148 

Average marks of two new students = 148/2 = 74.

The average marks of two new students is 74.

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