Ramesh and Gautam are among 22 students who write an examination. Ramesh scores 82.5. The average score of the 21 students other than Gautam is 62. The average score of all the 22 students is one more than the average score of the 21 students other than Ramesh. The score of Gautam is

Ramesh and Gautam are among 22 students who write an examination. Ramesh scores 82.5. The average score of the 21 students other than Gautam is 62. The average score of all the 22 students is one more than the average score of the 21 students other than Ramesh. The score of Gautam is Correct Answer 51

Calculation:

Total score of student other than gautam = 62 × 21 

⇒ 1302

⇒ Ramesh's score = 82.5

⇒ Average score of 21 other than Ramesh = a

⇒ Sum of 21 student score other than Ramesh = 21a

⇒ Average of 22 students = a + 1

⇒ Sum of 22 students score = 22(a + 1)

⇒ 22(a + 1) - 21a = 82.5

⇒ a = 60.5 

⇒ Sum of 22 student = (60.5 +1) × 22 = 1353

⇒ Gautam's marks = 1353 - 1302

∴ Gautam's marks = 51

Important Points

The average of 22 marks is 1 more than the average of 21 students other than Ramesh

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