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Question : The average mark obtained in a test by the three students is $x$. If the marks of a new student are also considered, then the average mark increases by 2. What are the marks secured by the new student in the test?

Option 1: $x$ + 4

Option 2: $x$ + 6

Option 3: $x$ + 8

Option 4: $x$ + 2


Team Careers360 3rd Jan, 2024
Answer (1)
Team Careers360 15th Jan, 2024

Correct Answer: $x$ + 8


Solution : Let's see the average mark obtained by the three students as $x$
The total marks obtained by the three students is 3$x$
New average = $x$ + 2
⇒ The total marks obtained by all students = 4($x$ + 2)
Let the marks obtained by the new student be $y$
So, 3$x$ + $y$ = 4($x$ + 2)
⇒ 3$x$ + $y$ = 4$x$ + 8
⇒ $y$ = 4$x$ + 8 − 3$x$
⇒ $y$ = $x$ + 8
Hence, the correct answer is $x$ + 8.

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