Question

The average score in Mathematics of a class of 36 students is 60. If the top two scores are excluded, the average goes down by 2. If the second highest score of the class is 90, find the highest score of the class.

Answer 1

Given :-

• average score in Mathematics of a class of 36 students is 60.
• After Two to scores excluded average goes down by 2.
• second highest score of the class is 90
• Highest Score of Class ? .

Solution :-

→ Average marks of 36 Students = 60

→ Total Marks of Class = Average * Total Number of Students = 60 * 36 = 2160 . ---------Equation (1)

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Now, when Two Top scores Excluded.

→ Number of Students Left = 36 - 2 = 34 .

→ New Average = 60 - 2 = 58 .

So,

→ Total Marks of Students = 34 * 58 = 1972. ------ Equation (2)

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Subtracting Equation (2) From Equation (1) we get

→ Total Marks of Top Two Students = 2160 - 1972 = 188.

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Now, Given That, Second Highest score of Class is 90.

So,

→ Highest score of class = 188 - 90 = 98 (Ans).

Hence, Highest score of class is 98.

Answer 2

Refer the attachment......