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18. P, Q and Rare three cities. The ratio of average temperature between P and Q is 11 : 12 and that between P and R is 9: 8. The ratio between the average temperature of Q and Ris?
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18. P, Q and Rare three cities. The ratio of average temperature betwe...
Problem:

P, Q and R are three cities. The ratio of average temperature between P and Q is 11 : 12 and that between P and R is 9: 8. The ratio between the average temperature of Q and R is?

Solution:

Let the average temperature of P, Q, and R be represented by P, Q, and R respectively.

Given that,
- The ratio of average temperature between P and Q is 11 : 12. Hence, we can write:

P/Q = 11/12

=> P = (11/12)Q

- The ratio of average temperature between P and R is 9:8. Hence, we can write:

P/R = 9/8

=> P = (9/8)R

From the above two equations, we can equate P and solve for Q and R.

(11/12)Q = (9/8)R

Q/R = (9/8) / (11/12)

Q/R = (9/8) * (12/11)

Q/R = 27/22

Therefore, the ratio between the average temperature of Q and R is 27:22.

Answer:

The ratio between the average temperature of Q and R is 27:22.
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18. P, Q and Rare three cities. The ratio of average temperature between P and Q is 11 : 12 and that between P and R is 9: 8. The ratio between the average temperature of Q and Ris?
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