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In an examination a pupil’s average marks were 63 per paper. If he had obtained 20 more marks for his geography paper and 2 more marks for his history paper, his average marks per paper would have been 65. How many papers were there in the examination?

In an examination a pupil’s average marks were 63 per paper. If he had obtained 20 more marks for his geography paper and 2 more marks for his history paper, his average marks per paper would have been 65. How many papers were there in the examination? Correct Answer 11

Let, number of papers in the examination be x

According to the question,

65 × x = 63 × x + 20 + 2

⇒ 65x = 63x + 22

⇒ 2x = 22

⇒ x = 11

∴ There were 11 papers in the examination

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