Let Gautam's score be g. Also, let x be the average of all 22 students so that the total scores of all 22 students =22x. From the first condition: 22x−g=21×62...(1) From the second condition: 22x−82.5=21(x−1) ⇒22x−21x=82.5−21 ⇒x=61.5 Putting x=61.5 in (1), we get g=51