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37. In an examination, a student's average marks were 63. If he had obtained 20 more marks for his Geography and 2 more marks for his history, his average would have been 65. How many subjects were there in the examination? b. 13 a. 12 C. 11 d. 14​

Sagot :

(total mark/number of subjects)Ă—100=63

(total mark+20+2)/(number of subjects)Ă—100=65

(total mark+22)/number of subjects=0.65

let n be the total number of subjects

((0.63 of 100n)+22)Ă·(100n)=0.65

because he obtained only 63 percent from sum of all marks.(marks counted from 100)

(0.63Ă—100n+22)Ă·(100n)=0.65

0.63+(22Ă·100n)=0.65

0.22Ă·n=0.65-0.63

0.22Ă·n=0.02

n=0.22/0.02

n=11

there were 11 subjects

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