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Given:
- Average score of p students is 70.
- Average score of n students is 92.
To find: We have to find the value of p/n.
Solution:
- Total scores of p students is 70p.
- Total scores of n students is 92n.
∴ total scores of (p + n) students is (70p + 92n).
Also given,
average score of (p + n) students is 86.
⇒ (70p + 92n) / (p + n) = 86
⇒ 70p + 92n = 86n + 86p
⇒ 86p - 70p = 92n - 86n
⇒ 16p = 8n
⇒ p/n = 8/16
⇒ p/n = 3/8
Answer: p/n = 3/8 .
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