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The average mark of 29 students of class is 44. The average of first 15 students is 42 and the last 15 students 45. Find the marks of 15th student of the class.

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answer is D.

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Detailed Solution

Total students sum of x marks = 29 × 44 = 1276

Sum of first 15 students marks = 15 × 42 = 630

sum of last 15 students marks = 15 × 45 = 675

15th student mark = (first 15 student marks) + (last 15 student marks) - (29 student marks)

= (630 + 675) - 1276

= (1305) - 1276

= 29

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